How do you find the antiderivative of #(e^sin(t)) *(cos(t))#?

Question

4768 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-09-11T05:25:23

#e^sin(t)+C#

#int(e^sin(t))cos(t)dt#

Let sin(t)=u, cos(t)dt=du

Substitute sin(t) with u, cos(t)dt with du

#int(e^u)du#

#e^u+C#

Substitute u with sin(t)

#e^sin(t)+C#