Techniques of Integration - Integration by Substitution

Techniques of Integration - Integration by Substitution

Find \(\displaystyle\displaystyle \displaystyle\int \frac{1}{x^{2}\sqrt{4 - x^{2}}} dx\) using the substitution \(x = \frac{2}{u}\).

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Answer:\(-\frac{\sqrt{4-x^2}}{4x}+C\), on \((-2,0)\) or \((0,2)\).

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