I almost understand all of this question, except in the last step where we have "128". I will show my work up to that step so you can follow.

I thought that distributing the 8 in step 3 would give us "+32cos...x+c?"

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- Apr 7th 2009, 04:14 PMgammamanIntegration by parts.
I almost understand all of this question, except in the last step where we have "128". I will show my work up to that step so you can follow.

I thought that distributing the 8 in step 3 would give us "+32cos...x+c?"

- Apr 7th 2009, 04:24 PMe^(i*pi)
- Apr 7th 2009, 04:28 PMgammaman
Ok I see it now. The anti-derivative of sin[(1/4)] is -4cos so -4 x -4 = +16

16 x the 8 in front gives us 128.