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Indefinite Integrals question

2020 · 4 Sep · Shift 1 · Q36

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JEE Main
Mathematics
Indefinite Integrals
2020 · 4 Sep · Shift 1 · Q36

Indefinite Integrals question

2020 · 4 Sep · Shift 1 · Q36

JEE MainMathematicsIndefinite IntegralsMCQ+4 / −1

The integral

\int {{{\left( {{x \over {x\sin x + \cos x}}} \right)}^2}dx}

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

A
$\sec x - {{x\tan x} \over {x\sin x + \cos x}} + C$
B
$\sec x + {{x\tan x} \over {x\sin x + \cos x}} + C$
C
$\tan x - {{x\sec x} \over {x\sin x + \cos x}} + C$
D
$\tan x + {{x\sec x} \over {x\sin x + \cos x}} + C$

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