jee-main 2021 Q88

jee-main · India · session4_27aug_shift2 Integration by Substitution Substitution to Compute an Indefinite Integral with Initial Condition
$\int \frac { 2 e ^ { x } + 3 e ^ { - x } } { 4 e ^ { x } + 7 e ^ { - x } } d x = \frac { 1 } { 14 } \left( u x + v \log _ { e } \left( 4 e ^ { x } + 7 e ^ { - x } \right) \right) + C$, where $C$ is a constant of integration, then $u + v$ is equal to 
$\int \frac { 2 e ^ { x } + 3 e ^ { - x } } { 4 e ^ { x } + 7 e ^ { - x } } d x = \frac { 1 } { 14 } \left( u x + v \log _ { e } \left( 4 e ^ { x } + 7 e ^ { - x } \right) \right) + C$, where $C$ is a constant of integration, then $u + v$ is equal to
Paper Questions
Q61 Q62 Q63 Q64 Q65 Q66 Q67 Q68 Q69 Q70 Q71 Q72 Q73 Q74 Q75 Q76 Q77 Q78 Q79 Q80 Q81 Q82 Q83 Q84 Q85 Q86 Q87 Q88 Q89 Q90