A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing
 2 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.
 2 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.

This Question is Closed

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

NoelGreco
 2 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.

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

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

NoelGreco
 2 years ago
Best ResponseYou've already chosen the best response.1You bet. We take precalculus for a reason, no?
Ask your own question
Ask a QuestionFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.