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Definite Integration question

2020 · 7 Jan · Shift 2 · Q33

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PYQ Library
JEE Main
Mathematics
Definite Integration
2020 · 7 Jan · Shift 2 · Q33

Definite Integration question

2020 · 7 Jan · Shift 2 · Q33

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

If

\theta

1 and

\theta

2 be respectively the smallest and the largest values of

\theta

in (0, 2

\pi

) - {

\pi

} which satisfy the equation, 2cot2

\theta

-

{5 \over {\sin \theta }}

+ 4 = 0, then

\int\limits_{{\theta _1}}^{{\theta _2}} {{{\cos }^2}3\theta d\theta }

is equal to :

A
${\pi \over 9}$
B
${{2\pi } \over 3}$
C
${{\pi } \over 3}$
D
${\pi \over 3} + {1 \over 6}$

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