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Problem 32 Medium Difficulty

Evaluate the indefinite integral.

$ \displaystyle \int \frac{x}{x^2 + 4} \, dx $

Answer

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

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Video Transcript

We know that if you is X squared plus four, then do you is to axe detox, Which means that ax d X is do you divide it by two change? We can pull the constant warning half out. So you have 1/2 times in a row. One over you, do you, which is 1/2 natural walk of you plus c been substituting in you is X squared plus four. We end up with our solution.