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Numerade Educator

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Problem 34 Medium Difficulty

Evaluate the integral.

$ \displaystyle \int^3_0 (2\sin x - e^x) \,dx $

Answer

$$
\int_{0}^{3}\left(2 \sin x-e^{x}\right) d x=3-2 \cos (3)-e^{3}
$$

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Video Transcript

Okay, let's write to inter Girls is to this the constance we can bring on the outside sine x d x minus integral from 0 to 3. You did the axe detox, which gives us two times negative co sign X. Now that we're integrating, plugging in This gives us three minutes to close sign of three miles east of the Cube and we could just leave it like that.