Mht CetIndefinite IntegrationMHT CET 2026 13th April Evening ShiftMCQ+2 / -02026$\int \dfrac{(x+1)}{x(1+xe^x)^2}dx =$A$-\log\left(\dfrac{xe^x}{1+xe^x}\right) + \dfrac{1}{(1+xe^x)} + c$B$\log\left(\dfrac{xe^x}{1+xe^x}\right) + \dfrac{1}{(1+xe^x)} + c$C$\log\left(\dfrac{1+xe^x}{xe^x}\right) + (1+xe^x) + c$D$-\log\left(\dfrac{xe^x}{1+xe^x}\right) - \dfrac{1}{(1+xe^x)} + c$Check AnswerClear SelectionReveal AnswerShow Explanation