(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

∫sin2xcosx x=0,pi/4

2. Relevant equations

3. The attempt at a solution

By double angle magic:

∫sin2xcosx=

∫2sinxcos^2x

u=cosx

du=-sinxdx

-2∫u^2

-2(u^3)/3

-2cos^3x/3

= -1/(3√2) for x=pi/4

How does that look folks?

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# Homework Help: Definite Integral of Trig Function

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