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Problem 56 Hard Difficulty

Evaluate the indefinite integral as an infinite series.

$$ \int \arctan (x^2) dx $$


$\sum_{k=1}^{\infty} \frac{(-1)^{k-1}}{(2 k-1) !} \frac{x^{4 k-1}}{4 k-1}$ where $c$ is a constant


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Video Transcript

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