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Indefinite Integrals question

2016 · 10 Apr · Shift 1 · Q39

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PYQ Library
JEE Main
Mathematics
Indefinite Integrals
2016 · 10 Apr · Shift 1 · Q39

Indefinite Integrals question

2016 · 10 Apr · Shift 1 · Q39

JEE MainMathematicsIndefinite IntegralsMCQ+4 / −1

The integral

\int {{{dx} \over {\left( {1 + \sqrt x } \right)\sqrt {x - {x^2}} }}}

is equal to : (where C is a constant of integration.)

A
$- 2\sqrt {{{1 + \sqrt x } \over {1 - \sqrt x }}} + C$
B
$- 2\sqrt {{{1 - \sqrt x } \over {1 + \sqrt x }}} + C$
C
$- \sqrt {{{1 - \sqrt x } \over {1 + \sqrt x }}} + C$
D
$2\sqrt {{{1 + \sqrt x } \over {1 - \sqrt x }}} + C$

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