On all R, f(x)=-11. Use the scoped signed polynomial moments to find I(f,-1,11), with oriented endpoints. Give a reduced fraction with positive denominator, retaining /1 for integers.
G001 — On all R, f(x)=-11. Use the scoped signed polynomial moments to find I(f,-1,11), with oriented endpoints. Give a reduced fraction with positive denominator, retaining /1 for integers.
Definition and scope
Use the original question domain, assumptions and cited MKO definitions. This item has second-context mathematical and bilingual review, with the model, answer and every arithmetic step independently recomputed from the original parameters; the source question remains a candidate.
Legacy banks enforce their exact source keys/operation/domain.BASE integers retain metadata without treating it as an oracle.Distinguish NUMBER,string,fraction pair and vector equality formats;retain original bilingual data/AST/status.
Constant moment ORIGINAL oriented width := sub(11, -1)
After
Constant moment ORIGINAL oriented width = 12
Conditions: none
Use ORIGINAL operands/order for exact integer/rational arithmetic.RAW bounds are bank-specific;derived values are not SAFE-recapped or approximated.Do not import legacy caps into BASE integers.
Constant moment ORIGINAL c times oriented width := mul(-11, 12)
After
Constant moment ORIGINAL c times oriented width = -132
Conditions: none
Use ORIGINAL operands/order for exact integer/rational arithmetic.RAW bounds are bank-specific;derived values are not SAFE-recapped or approximated.Do not import legacy caps into BASE integers.
The signed constant moment c(b−a)retains orientation,reverses sign with endpoints,and vanishes at equal endpoints.It is not automatically nonnegative area;integer answers retain/1.
S004 · premise_and_result_audit — Reverse-check ORIGINAL data,field roles,types,domain and premises;the conclusion need not uniquely recover its premises.Keep source-bound candidates,independent review,formal proof and publication separate.
S003 · premise_and_result_audit — Recompute Constant moment ORIGINAL c times oriented width with exact rational arithmetic, not rounded decimals.
S002 · premise_and_result_audit — Recompute Constant moment ORIGINAL oriented width with exact rational arithmetic, not rounded decimals.
S001 · premise_and_result_audit — Reverse-check ORIGINAL data,field roles,types,domain and premises;the conclusion need not uniquely recover its premises.Keep source-bound candidates,independent review,formal proof and publication separate.
Result
-132/1
The full substitutions and premise checks give the original answer; source identity,format and status are unchanged.
This question review and source binding
Review date: 2026-10-26
Original questions, answers, step expressions, numeric ASTs and historical records are retained. Source candidate labels remain historical and are not overwritten as formal proof.