# OCME · Knowledge & practice explorer

302 MKO / 1,441 families / 360 batches / 36,000 questions.

36,000 second-context math/bilingual reviewed; 0 display/symbol-checked candidates. Source questions: candidate. English: ai_candidate. No new proof, Lean, SREG or training.

100 results; page 1/4.

## Question 32601: Finite Left-Endpoint Sum of an Affine Function

- ID: `q-20261007-advance-20261008-r07-definite-integral-0076`; number: 32601
- Processing: second_context_reviewed
- MKO: [mko-definite-integral](/en/mko/mko-definite-integral/)
- Family: [qf-integral-affine-left-sum](/en/explore/?family=qf-integral-affine-left-sum)
- Batch: [batch-20261007-advance-20261008-r07-definite-integral-foundations](/en/explore/?batch=batch-20261007-advance-20261008-r07-definite-integral-foundations)
- [Derivation](/en/questions/q-20261007-advance-20261008-r07-definite-integral-0076/) / [Markdown](/en/questions/q-20261007-advance-20261008-r07-definite-integral-0076/index.md) / [JSON](/data/question-derivations/questions/q-20261007-advance-20261008-r07-definite-integral-0076.json)

## Question 32602: Finite Left-Endpoint Sum of an Affine Function

- ID: `q-20261007-advance-20261008-r07-definite-integral-0077`; number: 32602
- Processing: second_context_reviewed
- MKO: [mko-definite-integral](/en/mko/mko-definite-integral/)
- Family: [qf-integral-affine-left-sum](/en/explore/?family=qf-integral-affine-left-sum)
- Batch: [batch-20261007-advance-20261008-r07-definite-integral-foundations](/en/explore/?batch=batch-20261007-advance-20261008-r07-definite-integral-foundations)
- [Derivation](/en/questions/q-20261007-advance-20261008-r07-definite-integral-0077/) / [Markdown](/en/questions/q-20261007-advance-20261008-r07-definite-integral-0077/index.md) / [JSON](/data/question-derivations/questions/q-20261007-advance-20261008-r07-definite-integral-0077.json)

## Question 32603: Finite Left-Endpoint Sum of an Affine Function

- ID: `q-20261007-advance-20261008-r07-definite-integral-0078`; number: 32603
- Processing: second_context_reviewed
- MKO: [mko-definite-integral](/en/mko/mko-definite-integral/)
- Family: [qf-integral-affine-left-sum](/en/explore/?family=qf-integral-affine-left-sum)
- Batch: [batch-20261007-advance-20261008-r07-definite-integral-foundations](/en/explore/?batch=batch-20261007-advance-20261008-r07-definite-integral-foundations)
- [Derivation](/en/questions/q-20261007-advance-20261008-r07-definite-integral-0078/) / [Markdown](/en/questions/q-20261007-advance-20261008-r07-definite-integral-0078/index.md) / [JSON](/data/question-derivations/questions/q-20261007-advance-20261008-r07-definite-integral-0078.json)

## Question 32604: Finite Left-Endpoint Sum of an Affine Function

- ID: `q-20261007-advance-20261008-r07-definite-integral-0079`; number: 32604
- Processing: second_context_reviewed
- MKO: [mko-definite-integral](/en/mko/mko-definite-integral/)
- Family: [qf-integral-affine-left-sum](/en/explore/?family=qf-integral-affine-left-sum)
- Batch: [batch-20261007-advance-20261008-r07-definite-integral-foundations](/en/explore/?batch=batch-20261007-advance-20261008-r07-definite-integral-foundations)
- [Derivation](/en/questions/q-20261007-advance-20261008-r07-definite-integral-0079/) / [Markdown](/en/questions/q-20261007-advance-20261008-r07-definite-integral-0079/index.md) / [JSON](/data/question-derivations/questions/q-20261007-advance-20261008-r07-definite-integral-0079.json)

## Question 32605: Finite Left-Endpoint Sum of an Affine Function

- ID: `q-20261007-advance-20261008-r07-definite-integral-0080`; number: 32605
- Processing: second_context_reviewed
- MKO: [mko-definite-integral](/en/mko/mko-definite-integral/)
- Family: [qf-integral-affine-left-sum](/en/explore/?family=qf-integral-affine-left-sum)
- Batch: [batch-20261007-advance-20261008-r07-definite-integral-foundations](/en/explore/?batch=batch-20261007-advance-20261008-r07-definite-integral-foundations)
- [Derivation](/en/questions/q-20261007-advance-20261008-r07-definite-integral-0080/) / [Markdown](/en/questions/q-20261007-advance-20261008-r07-definite-integral-0080/index.md) / [JSON](/data/question-derivations/questions/q-20261007-advance-20261008-r07-definite-integral-0080.json)

## Question 32606: Finite Left-Endpoint Sum of an Affine Function

- ID: `q-20261007-advance-20261008-r07-definite-integral-0081`; number: 32606
- Processing: second_context_reviewed
- MKO: [mko-definite-integral](/en/mko/mko-definite-integral/)
- Family: [qf-integral-affine-left-sum](/en/explore/?family=qf-integral-affine-left-sum)
- Batch: [batch-20261007-advance-20261008-r07-definite-integral-foundations](/en/explore/?batch=batch-20261007-advance-20261008-r07-definite-integral-foundations)
- [Derivation](/en/questions/q-20261007-advance-20261008-r07-definite-integral-0081/) / [Markdown](/en/questions/q-20261007-advance-20261008-r07-definite-integral-0081/index.md) / [JSON](/data/question-derivations/questions/q-20261007-advance-20261008-r07-definite-integral-0081.json)

## Question 32607: Finite Left-Endpoint Sum of an Affine Function

- ID: `q-20261007-advance-20261008-r07-definite-integral-0082`; number: 32607
- Processing: second_context_reviewed
- MKO: [mko-definite-integral](/en/mko/mko-definite-integral/)
- Family: [qf-integral-affine-left-sum](/en/explore/?family=qf-integral-affine-left-sum)
- Batch: [batch-20261007-advance-20261008-r07-definite-integral-foundations](/en/explore/?batch=batch-20261007-advance-20261008-r07-definite-integral-foundations)
- [Derivation](/en/questions/q-20261007-advance-20261008-r07-definite-integral-0082/) / [Markdown](/en/questions/q-20261007-advance-20261008-r07-definite-integral-0082/index.md) / [JSON](/data/question-derivations/questions/q-20261007-advance-20261008-r07-definite-integral-0082.json)

## Question 32608: Finite Left-Endpoint Sum of an Affine Function

- ID: `q-20261007-advance-20261008-r07-definite-integral-0083`; number: 32608
- Processing: second_context_reviewed
- MKO: [mko-definite-integral](/en/mko/mko-definite-integral/)
- Family: [qf-integral-affine-left-sum](/en/explore/?family=qf-integral-affine-left-sum)
- Batch: [batch-20261007-advance-20261008-r07-definite-integral-foundations](/en/explore/?batch=batch-20261007-advance-20261008-r07-definite-integral-foundations)
- [Derivation](/en/questions/q-20261007-advance-20261008-r07-definite-integral-0083/) / [Markdown](/en/questions/q-20261007-advance-20261008-r07-definite-integral-0083/index.md) / [JSON](/data/question-derivations/questions/q-20261007-advance-20261008-r07-definite-integral-0083.json)

## Question 32609: Finite Left-Endpoint Sum of an Affine Function

- ID: `q-20261007-advance-20261008-r07-definite-integral-0084`; number: 32609
- Processing: second_context_reviewed
- MKO: [mko-definite-integral](/en/mko/mko-definite-integral/)
- Family: [qf-integral-affine-left-sum](/en/explore/?family=qf-integral-affine-left-sum)
- Batch: [batch-20261007-advance-20261008-r07-definite-integral-foundations](/en/explore/?batch=batch-20261007-advance-20261008-r07-definite-integral-foundations)
- [Derivation](/en/questions/q-20261007-advance-20261008-r07-definite-integral-0084/) / [Markdown](/en/questions/q-20261007-advance-20261008-r07-definite-integral-0084/index.md) / [JSON](/data/question-derivations/questions/q-20261007-advance-20261008-r07-definite-integral-0084.json)

## Question 32610: Finite Left-Endpoint Sum of an Affine Function

- ID: `q-20261007-advance-20261008-r07-definite-integral-0085`; number: 32610
- Processing: second_context_reviewed
- MKO: [mko-definite-integral](/en/mko/mko-definite-integral/)
- Family: [qf-integral-affine-left-sum](/en/explore/?family=qf-integral-affine-left-sum)
- Batch: [batch-20261007-advance-20261008-r07-definite-integral-foundations](/en/explore/?batch=batch-20261007-advance-20261008-r07-definite-integral-foundations)
- [Derivation](/en/questions/q-20261007-advance-20261008-r07-definite-integral-0085/) / [Markdown](/en/questions/q-20261007-advance-20261008-r07-definite-integral-0085/index.md) / [JSON](/data/question-derivations/questions/q-20261007-advance-20261008-r07-definite-integral-0085.json)

## Question 32611: Finite Left-Endpoint Sum of an Affine Function

- ID: `q-20261007-advance-20261008-r07-definite-integral-0086`; number: 32611
- Processing: second_context_reviewed
- MKO: [mko-definite-integral](/en/mko/mko-definite-integral/)
- Family: [qf-integral-affine-left-sum](/en/explore/?family=qf-integral-affine-left-sum)
- Batch: [batch-20261007-advance-20261008-r07-definite-integral-foundations](/en/explore/?batch=batch-20261007-advance-20261008-r07-definite-integral-foundations)
- [Derivation](/en/questions/q-20261007-advance-20261008-r07-definite-integral-0086/) / [Markdown](/en/questions/q-20261007-advance-20261008-r07-definite-integral-0086/index.md) / [JSON](/data/question-derivations/questions/q-20261007-advance-20261008-r07-definite-integral-0086.json)

## Question 32612: Finite Left-Endpoint Sum of an Affine Function

- ID: `q-20261007-advance-20261008-r07-definite-integral-0087`; number: 32612
- Processing: second_context_reviewed
- MKO: [mko-definite-integral](/en/mko/mko-definite-integral/)
- Family: [qf-integral-affine-left-sum](/en/explore/?family=qf-integral-affine-left-sum)
- Batch: [batch-20261007-advance-20261008-r07-definite-integral-foundations](/en/explore/?batch=batch-20261007-advance-20261008-r07-definite-integral-foundations)
- [Derivation](/en/questions/q-20261007-advance-20261008-r07-definite-integral-0087/) / [Markdown](/en/questions/q-20261007-advance-20261008-r07-definite-integral-0087/index.md) / [JSON](/data/question-derivations/questions/q-20261007-advance-20261008-r07-definite-integral-0087.json)

## Question 32613: Finite Left-Endpoint Sum of an Affine Function

- ID: `q-20261007-advance-20261008-r07-definite-integral-0088`; number: 32613
- Processing: second_context_reviewed
- MKO: [mko-definite-integral](/en/mko/mko-definite-integral/)
- Family: [qf-integral-affine-left-sum](/en/explore/?family=qf-integral-affine-left-sum)
- Batch: [batch-20261007-advance-20261008-r07-definite-integral-foundations](/en/explore/?batch=batch-20261007-advance-20261008-r07-definite-integral-foundations)
- [Derivation](/en/questions/q-20261007-advance-20261008-r07-definite-integral-0088/) / [Markdown](/en/questions/q-20261007-advance-20261008-r07-definite-integral-0088/index.md) / [JSON](/data/question-derivations/questions/q-20261007-advance-20261008-r07-definite-integral-0088.json)

## Question 32614: Finite Left-Endpoint Sum of an Affine Function

- ID: `q-20261007-advance-20261008-r07-definite-integral-0089`; number: 32614
- Processing: second_context_reviewed
- MKO: [mko-definite-integral](/en/mko/mko-definite-integral/)
- Family: [qf-integral-affine-left-sum](/en/explore/?family=qf-integral-affine-left-sum)
- Batch: [batch-20261007-advance-20261008-r07-definite-integral-foundations](/en/explore/?batch=batch-20261007-advance-20261008-r07-definite-integral-foundations)
- [Derivation](/en/questions/q-20261007-advance-20261008-r07-definite-integral-0089/) / [Markdown](/en/questions/q-20261007-advance-20261008-r07-definite-integral-0089/index.md) / [JSON](/data/question-derivations/questions/q-20261007-advance-20261008-r07-definite-integral-0089.json)

## Question 32615: Finite Left-Endpoint Sum of an Affine Function

- ID: `q-20261007-advance-20261008-r07-definite-integral-0090`; number: 32615
- Processing: second_context_reviewed
- MKO: [mko-definite-integral](/en/mko/mko-definite-integral/)
- Family: [qf-integral-affine-left-sum](/en/explore/?family=qf-integral-affine-left-sum)
- Batch: [batch-20261007-advance-20261008-r07-definite-integral-foundations](/en/explore/?batch=batch-20261007-advance-20261008-r07-definite-integral-foundations)
- [Derivation](/en/questions/q-20261007-advance-20261008-r07-definite-integral-0090/) / [Markdown](/en/questions/q-20261007-advance-20261008-r07-definite-integral-0090/index.md) / [JSON](/data/question-derivations/questions/q-20261007-advance-20261008-r07-definite-integral-0090.json)

## Question 32616: Finite Left-Endpoint Sum of an Affine Function

- ID: `q-20261007-advance-20261008-r07-definite-integral-0091`; number: 32616
- Processing: second_context_reviewed
- MKO: [mko-definite-integral](/en/mko/mko-definite-integral/)
- Family: [qf-integral-affine-left-sum](/en/explore/?family=qf-integral-affine-left-sum)
- Batch: [batch-20261007-advance-20261008-r07-definite-integral-foundations](/en/explore/?batch=batch-20261007-advance-20261008-r07-definite-integral-foundations)
- [Derivation](/en/questions/q-20261007-advance-20261008-r07-definite-integral-0091/) / [Markdown](/en/questions/q-20261007-advance-20261008-r07-definite-integral-0091/index.md) / [JSON](/data/question-derivations/questions/q-20261007-advance-20261008-r07-definite-integral-0091.json)

## Question 32617: Finite Left-Endpoint Sum of an Affine Function

- ID: `q-20261007-advance-20261008-r07-definite-integral-0092`; number: 32617
- Processing: second_context_reviewed
- MKO: [mko-definite-integral](/en/mko/mko-definite-integral/)
- Family: [qf-integral-affine-left-sum](/en/explore/?family=qf-integral-affine-left-sum)
- Batch: [batch-20261007-advance-20261008-r07-definite-integral-foundations](/en/explore/?batch=batch-20261007-advance-20261008-r07-definite-integral-foundations)
- [Derivation](/en/questions/q-20261007-advance-20261008-r07-definite-integral-0092/) / [Markdown](/en/questions/q-20261007-advance-20261008-r07-definite-integral-0092/index.md) / [JSON](/data/question-derivations/questions/q-20261007-advance-20261008-r07-definite-integral-0092.json)

## Question 32618: Finite Left-Endpoint Sum of an Affine Function

- ID: `q-20261007-advance-20261008-r07-definite-integral-0093`; number: 32618
- Processing: second_context_reviewed
- MKO: [mko-definite-integral](/en/mko/mko-definite-integral/)
- Family: [qf-integral-affine-left-sum](/en/explore/?family=qf-integral-affine-left-sum)
- Batch: [batch-20261007-advance-20261008-r07-definite-integral-foundations](/en/explore/?batch=batch-20261007-advance-20261008-r07-definite-integral-foundations)
- [Derivation](/en/questions/q-20261007-advance-20261008-r07-definite-integral-0093/) / [Markdown](/en/questions/q-20261007-advance-20261008-r07-definite-integral-0093/index.md) / [JSON](/data/question-derivations/questions/q-20261007-advance-20261008-r07-definite-integral-0093.json)

## Question 32619: Finite Left-Endpoint Sum of an Affine Function

- ID: `q-20261007-advance-20261008-r07-definite-integral-0094`; number: 32619
- Processing: second_context_reviewed
- MKO: [mko-definite-integral](/en/mko/mko-definite-integral/)
- Family: [qf-integral-affine-left-sum](/en/explore/?family=qf-integral-affine-left-sum)
- Batch: [batch-20261007-advance-20261008-r07-definite-integral-foundations](/en/explore/?batch=batch-20261007-advance-20261008-r07-definite-integral-foundations)
- [Derivation](/en/questions/q-20261007-advance-20261008-r07-definite-integral-0094/) / [Markdown](/en/questions/q-20261007-advance-20261008-r07-definite-integral-0094/index.md) / [JSON](/data/question-derivations/questions/q-20261007-advance-20261008-r07-definite-integral-0094.json)

## Question 32620: Finite Left-Endpoint Sum of an Affine Function

- ID: `q-20261007-advance-20261008-r07-definite-integral-0095`; number: 32620
- Processing: second_context_reviewed
- MKO: [mko-definite-integral](/en/mko/mko-definite-integral/)
- Family: [qf-integral-affine-left-sum](/en/explore/?family=qf-integral-affine-left-sum)
- Batch: [batch-20261007-advance-20261008-r07-definite-integral-foundations](/en/explore/?batch=batch-20261007-advance-20261008-r07-definite-integral-foundations)
- [Derivation](/en/questions/q-20261007-advance-20261008-r07-definite-integral-0095/) / [Markdown](/en/questions/q-20261007-advance-20261008-r07-definite-integral-0095/index.md) / [JSON](/data/question-derivations/questions/q-20261007-advance-20261008-r07-definite-integral-0095.json)

## Question 32621: Finite Left-Endpoint Sum of an Affine Function

- ID: `q-20261007-advance-20261008-r07-definite-integral-0096`; number: 32621
- Processing: second_context_reviewed
- MKO: [mko-definite-integral](/en/mko/mko-definite-integral/)
- Family: [qf-integral-affine-left-sum](/en/explore/?family=qf-integral-affine-left-sum)
- Batch: [batch-20261007-advance-20261008-r07-definite-integral-foundations](/en/explore/?batch=batch-20261007-advance-20261008-r07-definite-integral-foundations)
- [Derivation](/en/questions/q-20261007-advance-20261008-r07-definite-integral-0096/) / [Markdown](/en/questions/q-20261007-advance-20261008-r07-definite-integral-0096/index.md) / [JSON](/data/question-derivations/questions/q-20261007-advance-20261008-r07-definite-integral-0096.json)

## Question 32622: Finite Left-Endpoint Sum of an Affine Function

- ID: `q-20261007-advance-20261008-r07-definite-integral-0097`; number: 32622
- Processing: second_context_reviewed
- MKO: [mko-definite-integral](/en/mko/mko-definite-integral/)
- Family: [qf-integral-affine-left-sum](/en/explore/?family=qf-integral-affine-left-sum)
- Batch: [batch-20261007-advance-20261008-r07-definite-integral-foundations](/en/explore/?batch=batch-20261007-advance-20261008-r07-definite-integral-foundations)
- [Derivation](/en/questions/q-20261007-advance-20261008-r07-definite-integral-0097/) / [Markdown](/en/questions/q-20261007-advance-20261008-r07-definite-integral-0097/index.md) / [JSON](/data/question-derivations/questions/q-20261007-advance-20261008-r07-definite-integral-0097.json)

## Question 32623: Finite Left-Endpoint Sum of an Affine Function

- ID: `q-20261007-advance-20261008-r07-definite-integral-0098`; number: 32623
- Processing: second_context_reviewed
- MKO: [mko-definite-integral](/en/mko/mko-definite-integral/)
- Family: [qf-integral-affine-left-sum](/en/explore/?family=qf-integral-affine-left-sum)
- Batch: [batch-20261007-advance-20261008-r07-definite-integral-foundations](/en/explore/?batch=batch-20261007-advance-20261008-r07-definite-integral-foundations)
- [Derivation](/en/questions/q-20261007-advance-20261008-r07-definite-integral-0098/) / [Markdown](/en/questions/q-20261007-advance-20261008-r07-definite-integral-0098/index.md) / [JSON](/data/question-derivations/questions/q-20261007-advance-20261008-r07-definite-integral-0098.json)

## Question 32624: Finite Left-Endpoint Sum of an Affine Function

- ID: `q-20261007-advance-20261008-r07-definite-integral-0099`; number: 32624
- Processing: second_context_reviewed
- MKO: [mko-definite-integral](/en/mko/mko-definite-integral/)
- Family: [qf-integral-affine-left-sum](/en/explore/?family=qf-integral-affine-left-sum)
- Batch: [batch-20261007-advance-20261008-r07-definite-integral-foundations](/en/explore/?batch=batch-20261007-advance-20261008-r07-definite-integral-foundations)
- [Derivation](/en/questions/q-20261007-advance-20261008-r07-definite-integral-0099/) / [Markdown](/en/questions/q-20261007-advance-20261008-r07-definite-integral-0099/index.md) / [JSON](/data/question-derivations/questions/q-20261007-advance-20261008-r07-definite-integral-0099.json)

## Question 32625: Finite Left-Endpoint Sum of an Affine Function

- ID: `q-20261007-advance-20261008-r07-definite-integral-0100`; number: 32625
- Processing: second_context_reviewed
- MKO: [mko-definite-integral](/en/mko/mko-definite-integral/)
- Family: [qf-integral-affine-left-sum](/en/explore/?family=qf-integral-affine-left-sum)
- Batch: [batch-20261007-advance-20261008-r07-definite-integral-foundations](/en/explore/?batch=batch-20261007-advance-20261008-r07-definite-integral-foundations)
- [Derivation](/en/questions/q-20261007-advance-20261008-r07-definite-integral-0100/) / [Markdown](/en/questions/q-20261007-advance-20261008-r07-definite-integral-0100/index.md) / [JSON](/data/question-derivations/questions/q-20261007-advance-20261008-r07-definite-integral-0100.json)

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