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Numerade Educator

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Problem 37 Medium Difficulty

Evaluate the integral.

$ \displaystyle \int^1_0 (x^e + e^x) \,dx $

Answer

$\frac{1}{e+1}+e-1$

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Video Transcript

we're called the fact that the integral to the axis simply e to the X into great. We can do this by increasing the experiment by one dividing by our new exponents or new expert in his evil swan. Plug in. This gives us one over. A plus one was e minus one, which is escort over E plus one. You want to write it a simplified as possible.