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Numerade Educator

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Problem 25 Easy Difficulty

Evaluate the indefinite integral.

$ \displaystyle \int e^x \sqrt{1 + e^x} \, dx $

Answer

$\frac{2}{3} \sqrt{\left(1+e^{x}\right)^{3}}+c$

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Video Transcript

We know that you is one pomposity to the axe. Which means that de axe is do you divide? Find each of the AKs, which means that we have 2/3 You too. Thrilled too. Plus c only interpret it using the power will, which means back substituting. And you is one plus eight of the axe We end up with us.