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Indefinite Integrals question

2004 · Shift 0 · Q83

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PYQ Library
JEE Main
Mathematics
Indefinite Integrals
2004 · Shift 0 · Q83

Indefinite Integrals question

2004 · Shift 0 · Q83

JEE MainMathematicsIndefinite IntegralsMCQ+4 / −1

\int {{{dx} \over {\cos x - \sin x}}}

is equal to

A
${1 \over {\sqrt 2 }}\log \left| {\tan \left( {{x \over 2} + {{3\pi } \over 8}} \right)} \right| + C$
B
${1 \over {\sqrt 2 }}\log \left| {\cot \left( {{x \over 2}} \right)} \right| + C$
C
${1 \over {\sqrt 2 }}\log \left| {\tan \left( {{x \over 2} - {{3\pi } \over 8}} \right)} \right| + C$
D
$\,{1 \over {\sqrt 2 }}\log \left| {\tan \left( {{x \over 2} - {\pi \over 8}} \right)} \right| + C$

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