$\smallint \,\,\frac{{\sqrt {\tan \,\,x} }}{{\sin \,\,x\,\,\cos \,\,x}}\,\,dx$ is equal to

$2\,\sqrt {\cot \,\,x} \,\, + \,\,C$

$\frac{{\sqrt {\tan \,\,x} }}{2}\,\, + \,\,C$

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int \,\,\frac{{\sqrt {\tan \,\,x} }}{{\sin \,\,x\,\,\cos \,\,x}}\,\,dx

is equal to

View answer and explanation

Correct option: A

2\,\sqrt {\tan \,\,x} \,\, + \,\,C

Option A (

2\,\sqrt {\tan \,x} \, + \,C

) is correct because it is the result of a direct u-substitution and integration.

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