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Chain Rule of Differentiation

Solve: ∫ dx...

Question

Solve: $\int \frac{d x}{x (1 + α^{2})}$

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Solution

$\int \frac{d x}{x (1 + α^{2})}$
$= \frac{1}{1 + α^{2}} \int \frac{d x}{x}$
$= \frac{1}{1 + α^{2}} ln | x | + c$

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