(adsbygoogle = window.adsbygoogle || []).push({}); Hello there. I feel like this isn't the right answer, but I'd like some verification as to where exactly I went wrong! 1. The problem statement, all variables and given/known data is [tex]\int_{0}^{pi}x^2cos x dx[/tex]

3. The attempt at a solution went something like this:

[tex]u=x^2 dv=cos x dx

du=2x dx v=\int_{0}^{pi}cos x dx= sin x[/tex]

The integral was then:

[tex]\int_{0)^{pi}x^2cos x dx= x^2 sin x\right]_{0}^{pi}-\int_{0}^{pi}sin x 2x dx[/tex]

to solve:

[tex]=x^2 sin x + cos x x^2[/tex]

[tex]=pi^2 sin pi + cos 0 o^2[/tex]

[tex]9.87 times 0=1+0[/tex]

[tex]=1[/tex]

Thanks for all your help in advance!

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# Definite integration by parts!

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