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Definite Integration question

2020 · 3 Sep · Shift 2 · Q26

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PYQ Library
JEE Main
Mathematics
Definite Integration
2020 · 3 Sep · Shift 2 · Q26

Definite Integration question

2020 · 3 Sep · Shift 2 · Q26

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

If the value of the integral

\int\limits_0^{{1 \over 2}} {{{{x^2}} \over {{{\left( {1 - {x^2}} \right)}^{{3 \over 2}}}}}} dx

is

{k \over 6}

, then k is equal to :

A
$2\sqrt 3 + \pi$
B
$3\sqrt 2 - \pi$
C
$3\sqrt 2 + \pi$
D
$2\sqrt 3 - \pi$

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