Techniques of Integration - Standard Integrals with Quadratic Denominators

Techniques of Integration - Standard Integrals with Quadratic Denominators

\(\displaystyle\int{\frac{1}{{8+{{\left(5x-3\right)}^{2}}}}}\mathrm{ d}x\)

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Answer:\(\frac1{10\sqrt2}\tan^{-1}\left(\frac{5x-3}{2\sqrt2}\right)+C\)

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