Techniques of Integration - Integration by Substitution

Techniques of Integration - Integration by Substitution

\(\displaystyle\displaystyle \displaystyle\int{{{({{x}^{2}}-5)}^{-\frac{3}{2}}}}\mathrm{ d}x,\) let \(x=\sqrt{5}\sec \theta\)

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Answer:\(-\frac{x}{5\sqrt{x^2-5}}+C\)

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