Mht CetIndefinite IntegrationMHT CET 2026 15th April Evening ShiftMCQ+2 / -02026$\int \text{cosec}^{-1}\left(\sqrt{\dfrac{a+x}{x}}\right)\, \text{d}x =$A$a\theta\tan^2\theta - a\tan\theta - a\theta + c$ $\left(\text{where } \theta = \tan^{-1}\left(\sqrt{\dfrac{x}{a}}\right)\right)$ and c is the constant of integrationB$a\theta\tan^2\theta - a\tan\theta + a\theta + c$ $\left(\text{where } \theta = \tan^{-1}\left(\sqrt{\dfrac{x}{a}}\right)\right)$ and c is the constant of integrationC$a\theta\tan^2\theta + a\tan\theta - a\theta + c$ $\left(\text{where } \theta = \tan^{-1}\left(\sqrt{\dfrac{x}{a}}\right)\right)$ and c is the constant of integrationD$a\theta\tan^2\theta + a\tan\theta + a\theta + c$ $\left(\text{where } \theta = \tan^{-1}\left(\sqrt{\dfrac{x}{a}}\right)\right)$ and c is the constant of integrationCheck AnswerClear SelectionReveal AnswerShow Explanation
