jee-main 2020 Q65

jee-main · India · session1_07jan_shift2 Indefinite & Definite Integrals Definite Integral Evaluation (Computational)
The value of $\alpha$ for which $4 \alpha \int _ { - 1 } ^ { 2 } e ^ { - \alpha | x | } d x = 5$, is
(1) $\log _ { e } 2$
(2) $\log _ { e } \left( \frac { 3 } { 2 } \right)$
(3) $\log _ { e } \sqrt { 2 }$
(4) $\log _ { e } \left( \frac { 4 } { 3 } \right)$
The value of $\alpha$ for which $4 \alpha \int _ { - 1 } ^ { 2 } e ^ { - \alpha | x | } d x = 5$, is\\
(1) $\log _ { e } 2$\\
(2) $\log _ { e } \left( \frac { 3 } { 2 } \right)$\\
(3) $\log _ { e } \sqrt { 2 }$\\
(4) $\log _ { e } \left( \frac { 4 } { 3 } \right)$