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Integration as Antiderivative

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Question

Evaluate $\int \frac{x^{2}}{x (1 + x^{2})} d x$

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Solution

$\int \frac{x^{2}}{x (1 + x^{2})} d x$
$= \frac{1}{2} \int \frac{2 x}{1 + x^{2}} d x$

$= \frac{1}{2} log (1 + x^{2}) + c$

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