Techniques of Integration - Standard Integrals with Quadratic Denominators

Techniques of Integration - Standard Integrals with Quadratic Denominators

\(\displaystyle\displaystyle \displaystyle\int{\frac{1}{\sqrt{1+6x-{{x}^{2}}}}}\mathrm{ d}x\)

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Answer:\(\sin^{-1}\left(\frac{x-3}{\sqrt{10}}\right)+C\)

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