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

∫ x sinx cosx dx =

2. Relevant equations

note that sinx cosx = (1/2) sin 2x

3. The attempt at a solution

1/2) ∫ x sin 2x dx =

(1/2) [(-1/2)x cos 2x - ∫ (-1/2)cos 2x dx] =

(1/2) [(-1/2)x cos 2x +(1/2) ∫ cos 2x dx] =

(-1/4)x cos 2x +(1/4) ∫ cos 2x dx =

(-1/4)x cos 2x +(1/4)(1/2) sin 2x + c =

(-1/4)x cos 2x +(1/8) sin 2x + c =

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# Homework Help: How do you solve the integral

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