Integrate e^1+cosx .sinx dx =?

Question

#inte^(1+cosx)sinx dx =?#

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Answer 1 · 2018-07-27T04:27:44

# -e^(1+cosx)+C.#

Hoping that, the Question is to find #I=inte^(1+cosx)sinxdx#,

let, #(1+cosx)=u," so that, "-sinxdx=du#.

#:. I=-inte^(1+cosx)*(-sinxdx)#,

#=-inte^udu#,

#=-e^u#.

# rArr I=-e^(1+cosx)+C.#