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Indefinite Integrals question

2007 · Shift 0 · Q50

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PYQ Library
JEE Main
Mathematics
Indefinite Integrals
2007 · Shift 0 · Q50

Indefinite Integrals question

2007 · Shift 0 · Q50

JEE MainMathematicsIndefinite IntegralsMCQ+4 / −1

\int {{{dx} \over {\cos x + \sqrt 3 \sin x}}}

equals

A
$\log \,\tan \,\left( {{x \over 2} + {\pi \over {12}}} \right) + C$
B
$\log \,\tan \,\left( {{x \over 2} - {\pi \over {12}}} \right) + C$
C
$\,{1 \over 2}\,\log \,\tan \,\left( {{x \over 2} + {\pi \over {12}}} \right) + C$
D
$\,{1 \over 2}\,\log \,\tan \,\left( {{x \over 2} - {\pi \over {12}}} \right) + C$

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