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Indefinite Integrals question

2016 · 9 Apr · Shift 1 · Q43

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PYQ Library
JEE Main
Mathematics
Indefinite Integrals
2016 · 9 Apr · Shift 1 · Q43

Indefinite Integrals question

2016 · 9 Apr · Shift 1 · Q43

JEE MainMathematicsIndefinite IntegralsMCQ+4 / −1

If

\int {{{dx} \over {{{\cos }^3}x\sqrt {2\sin 2x} }}} = {\left( {\tan x} \right)^A} + C{\left( {\tan x} \right)^B} + k,

where k is a constant of integration, then A + B +C equals :

A
${{21} \over 5}$
B
${{16} \over 5}$
C
${{7} \over 10}$
D
${{27} \over 10}$

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