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Numerade Educator

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Problem 31 Easy Difficulty

Evaluate the indefinite integral.

$ \displaystyle \int \frac{(\arctan x)^2}{x^2 + 1} \, dx $

Answer

$$\frac{1}{3}(\arctan x)^{3}+C$$

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Video Transcript

We know that you is our 10 acts which means that d'you is de axe divide by one plus X squared which means the interval of you squared to you using the power rule which means we increased exports by one divide by the new X poona and then back substitute you is work 10 acts. We end up with this.