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# integral

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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