How do you integrate $int cos(5x)/e^(sin(5x))$ using substitution?

Question

4700 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-01-13T07:13:08

Rewrite as:

$inte^-sin(5x)*cos(5x)dx$

Let $u=-sin(5x)$

$du=-5cos(5x)dx$

$-1/5du=cos(5x)dx$

$-1/5inte^udu$

$=-1/5e^u$

$=-1/5e^-sin(5x)=-e^-sin(5x)/5$

How do you integrate int cos(5x)/e^(sin(5x))int cos(5x)/e^(sin(5x)) using substitution?