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Indefinite Integrals question

2020 · 5 Sep · Shift 2 · Q30

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PYQ Library
JEE Main
Mathematics
Indefinite Integrals
2020 · 5 Sep · Shift 2 · Q30

Indefinite Integrals question

2020 · 5 Sep · Shift 2 · Q30

JEE MainMathematicsIndefinite IntegralsMCQ+4 / −1

If

\int {{{\cos \theta } \over {5 + 7\sin \theta - 2{{\cos }^2}\theta }}} d\theta

= A

{\log _e}\left| {B\left( \theta \right)} \right| + C

, where C is a constant of integration, then

{{{B\left( \theta \right)} \over A}}

can be :

A
${{2\sin \theta + 1} \over {5\left( {\sin \theta + 3} \right)}}$
B
${{2\sin \theta + 1} \over {\sin \theta + 3}}$
C
${{5\left( {2\sin \theta + 1} \right)} \over {\sin \theta + 3}}$
D
${{5\left( {\sin \theta + 3} \right)} \over {2\sin \theta + 1}}$

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