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Definite Integration question

2019 · 8 Apr · Shift 1 · Q32

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PYQ Library
JEE Main
Mathematics
Definite Integration
2019 · 8 Apr · Shift 1 · Q32

Definite Integration question

2019 · 8 Apr · Shift 1 · Q32

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

If

f(x) = {{2 - x\cos x} \over {2 + x\cos x}}

and g(x) = logex, (x > 0) then the value of integral

\int\limits_{ - {\pi \over 4}}^{{\pi \over 4}} {g\left( {f\left( x \right)} \right)dx{\rm{ }}}

is

A
loge3
B
loge2
C
loge1
D
logee

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