Techniques of Integration - Integration by Substitution

Techniques of Integration - Integration by Substitution

By means of substitution \(x = \tan \theta\), or otherwise, find the exact value of \(\displaystyle\displaystyle \displaystyle\int_{0}^{\infty} \frac{x^{2}}{(1 + x^{2})^{2}} dx\).

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Answer:\(\frac{\pi }{4}\)

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