Techniques of Integration - Integration of \({\frac{1}{\sqrt{a^2 - x^2}}, \frac{1}{a^2 + x^2}, \frac{1}{a^2 - x^2}, \frac{1}{x^2 - a^2}}\)
Techniques of Integration - Integration of \({\frac{1}{\sqrt{a^2 - x^2}}, \frac{1}{a^2 + x^2}, \frac{1}{a^2 - x^2}, \frac{1}{x^2 - a^2}}\)
\(\displaystyle\int{\frac{1}{{8+{{\left(5x-3\right)}^{2}}}}}\mathrm{ d}x\)
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Answer:\(\frac1{10\sqrt2}\tan^{-1}\left(\frac{5x-3}{2\sqrt2}\right)+C\)
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