How do you integrate $(e^sin(x))cos(x) dx$ ?

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Answer 1 · 2016-05-11T09:38:19

$inte^(sinx)cosxdx=e^sinx$

Let $u=sinx$ , then $du=cosxdx$ and

$inte^(sinx)cosxdx=inte^udu=e^u=e^sinx$

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