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Definite Integration question

2020 · 7 Jan · Shift 2 · Q24

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PYQ Library
JEE Main
Mathematics
Definite Integration
2020 · 7 Jan · Shift 2 · Q24

Definite Integration question

2020 · 7 Jan · Shift 2 · Q24

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

The value of

\alpha

for which

4\alpha \int\limits_{ - 1}^2 {{e^{ - \alpha \left| x \right|}}dx} = 5

, is:

A
${\log _e}2$
B
${\log _e}\sqrt 2$
C
${\log _e}\left( {{4 \over 3}} \right)$
D
${\log _e}\left( {{3 \over 2}} \right)$

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