ComedkIndefinite IntegrationCOMEDK 2025 Morning ShiftMCQ+1 / -02025$\int \frac{1}{\sqrt{9+8 x-x^2}} d x=\varphi(x)+c$ then $\varphi(x)=$A $\frac{1}{5} \sin ^{-1}\left(\frac{x-4}{5}\right)$B $\sin ^{-1}\left(\frac{x-4}{5}\right)$C $\frac{1}{10} \log \left|\frac{4-x}{4+x}\right|$D $\log \left|\frac{4-x}{4+x}\right|$Check AnswerClear SelectionReveal AnswerShow Explanation