MathDB
Today's calculation of Integral 760

Source: created by kunny

October 7, 2011
calculusintegrationtrigonometrycalculus computations

Problem Statement

Prove that there exists a positive integer nn such that ∫01xsin⁡ (x2−x+1)dx≥nn+1sin⁡n+2n+3.\int_0^1 x\sin\ (x^2-x+1)dx\geq \frac {n}{n+1}\sin \frac{n+2}{n+3}.
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