$\smallint \frac{1}{{\sqrt {{{\sin }^3}x\,\,\cos \,\,x} }}dx$ is equal to

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int \frac{1}{{\sqrt {{{\sin }^3}x\,\,\cos \,\,x} }}dx

is equal to

View answer and explanation

Correct option: A

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

Option A (

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

) is correct because after rewriting the integrand in terms of tan(x), a simple substitution and power rule integration yields the result.

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