Mht CetIndefinite IntegrationMHT CET 2024 9th May Evening ShiftMCQ+2 / -02024\(\int \sqrt{\mathrm{e}^x-1} \mathrm{dx}=\)A $\sqrt{\mathrm{e}^x-1}+\tan ^{-1} \sqrt{\mathrm{e}^x-1}+\mathrm{c}$, (where c is constant of integration)B $2 \sqrt{\mathrm{e}^x-1}+\tan ^{-1} \sqrt{\mathrm{e}^x-1}+\mathrm{c}$, (where c is constant of integration)C $2 \sqrt{\mathrm{e}^x-1}-2 \tan ^{-1} \sqrt{\mathrm{e}^x-1}+\mathrm{c}$, (where c is constant of integration)D $2 \sqrt{\mathrm{e}^x-1}-\tan ^{-1} \sqrt{\mathrm{e}^x-1}+\mathrm{c}$, (where c is constant of integration)Check AnswerClear SelectionReveal AnswerShow Explanation