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Numerade Educator



Problem 41 Hard Difficulty

First make a substitution and then use integration by parts to evaluate the integral.

$ \displaystyle \int x \ln (1 + x) dx $


$\frac{1}{2}\left(x^{2}-1\right) \ln (1+x)-\frac{1}{4} x^{2}+\frac{1}{2} x+\frac{3}{4}+C$


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Video Transcript

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