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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.
 one year ago
 one year 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.
 one year ago
 one year ago

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adeniytaBest ResponseYou've already chosen the best response.0
\[\int\limits_{0}^{\pi}e ^{cost}\sin2tdt\]
 one year ago

NoelGrecoBest ResponseYou've already chosen the best response.1
Your 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.
 one year ago

adeniytaBest ResponseYou've already chosen the best response.0
Okay, thank you. This was very helpful, have a good day!:)
 one year ago

adeniytaBest ResponseYou've already chosen the best response.0
I got 4/e for answer.
 one year ago

adeniytaBest ResponseYou've already chosen the best response.0
It was right hallelujah! Thanks!
 one year ago

NoelGrecoBest ResponseYou've already chosen the best response.1
You bet. We take precalculus for a reason, no?
 one year ago
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