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anonymous
 3 years ago
How do I deal with the coefficient in the argument of the following problem? Integrate: e^(cost)*sin(2t)dt from 0 to pi
I am not sure how to do substitution with this. I made u= cost du= sintdt and then I integrated and multiplied the end points by two to get ee^1. I retyped the problem in below space.
anonymous
 3 years ago
How do I deal with the coefficient in the argument of the following problem? Integrate: e^(cost)*sin(2t)dt from 0 to pi I am not sure how to do substitution with this. I made u= cost du= sintdt and then I integrated and multiplied the end points by two to get ee^1. I retyped the problem in below space.

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anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0\[\int\limits_{0}^{\pi}e ^{cost}\sin2tdt\]

NoelGreco
 3 years ago
Best ResponseYou've already chosen the best response.1Your problem is the 2. Use the double angle trig identity: \[\sin (2x) = 2\sin x \cos x\] Then do your u substitution using u = cos x. Integrate by parts, and enjoy.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Okay, thank you. This was very helpful, have a good day!:)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0I got 4/e for answer.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0It was right hallelujah! Thanks!

NoelGreco
 3 years ago
Best ResponseYou've already chosen the best response.1You bet. We take precalculus for a reason, no?
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