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Indefinite Integrals question

2017 · 8 Apr · Shift 1 · Q48

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PYQ Library
JEE Main
Mathematics
Indefinite Integrals
2017 · 8 Apr · Shift 1 · Q48

Indefinite Integrals question

2017 · 8 Apr · Shift 1 · Q48

JEE MainMathematicsIndefinite IntegralsMCQ+4 / −1

The integral

\int \sqrt{1 + 2\cot x(\csc x + \cot x)} \, dx \quad \left(0 \lt x \lt \frac{\pi}{2}\right)

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

A
4 log(sin ${x \over 2}$ ) + C
B
2 log(sin ${x \over 2}$ ) + C
C
2 log(cos ${x \over 2}$ ) + C
D
4 log(cos ${x \over 2}$ ) + C

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