JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Analyzing +4 | -1

\int \frac{d x}{\sin x+\sec x}

is equal to

\frac{1}{2 \sqrt{3}} \log _e\left|\frac{\sqrt{3}+t}{\sqrt{3}-t}\right|+\operatorname{Tan}^{-1} z+c

where

View answer and explanation

Correct option: B

t=\sin x-\cos x, z=\sin x+\cos x

Option A (

t=\sin x-\cos x, z=\sin x+\cos x

) is correct because the given substitutions correctly separate the integral into two standard forms.

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