Jee Main
Indefinite Integrals
JEE Main 2021 (Online) 27th August Evening Shift
INTEGER+4 / -12021
If \(\int {{{2{e^x} + 3{e^{ - x}}} \over {4{e^x} + 7{e^{ - x}}}}dx = {1 \over {14}}(ux + v{{\log }_e}(4{e^x} + 7{e^{ - x}})) + C}\), where C is a constant of integration, then u + v is equal to _____________.