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Definite Integration question

2021 · 27 Jul · Shift 1 · Q25

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PYQ Library
JEE Main
Mathematics
Definite Integration
2021 · 27 Jul · Shift 1 · Q25

Definite Integration question

2021 · 27 Jul · Shift 1 · Q25

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

The value of the definite integral

\int\limits_{ - {\pi \over 4}}^{{\pi \over 4}} {{{dx} \over {(1 + {e^{x\cos x}})({{\sin }^4}x + {{\cos }^4}x)}}}

is equal to :

A
$- {\pi \over 2}$
B
${\pi \over {2\sqrt 2 }}$
C
$- {\pi \over 4}$
D
${\pi \over {\sqrt 2 }}$

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