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Calcule a integra de (-senx)e^cosx

 Sep 4, 2020
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I take this to mean calculate \(\int(-\sin x)e^{\cos x}dx\)

 

Well, since the derivative of cos x is - sin x, and that of ex is just ex, we can see from the chain rule that:

 

 \(\int(-\sin x)e^{\cos x}dx = e^{\cos x}\)  plus a constant of course.

 Sep 4, 2020

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