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Numerade Educator

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Problem 2 Easy Difficulty

Evaluate the integral by making the given substitution.

$ \displaystyle \int xe^{-x^2}\, dx $, $ u = -x^2 $

Answer

$-\frac{1}{2} e^{-x^{2}}+C$

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Video Transcript

okay. The problem was told us to substitute you is negative x square, Which means that when we take d'you, we end up with do you this negative two x That's the derivative times DX, which means X d axe is negative. D'You divide by two, which means we have a negative 1/2 and then remember the integral of each of the U. S. Still did you plus C. And now we can plug ins. We have negative 1/2 you to the negative X squared plus two C as our solution.