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Definite Integration question

2018 · 15 Apr · Shift 2 · Q40

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PYQ Library
JEE Main
Mathematics
Definite Integration
2018 · 15 Apr · Shift 2 · Q40

Definite Integration question

2018 · 15 Apr · Shift 2 · Q40

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

The value of integral

\int_{{\pi \over 4}}^{{{3\pi } \over 4}} {{x \over {1 + \sin x}}dx}

is :

A
$\pi \sqrt 2$
B
$\pi \left( {\sqrt 2 - 1} \right)$
C
${\pi \over 2}\left( {\sqrt 2 + 1} \right)$
D
$2\pi \left( {\sqrt 2 - 1} \right)$

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