$\mathop \smallint \nolimits_0^{\pi /2} \,\,\frac{{dx}}{{1 + \,\,{{\tan }^3}\,\,x}}$ is equal to

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int \nolimits_0^{\pi /2} \,\,\frac{{dx}}{{1 + \,\,{{\tan }^3}\,\,x}}

is equal to

View answer and explanation

Correct option: C

\frac{\pi }{4}

Option C (

\frac{\pi }{4}

) is correct because the integral is evaluated using properties of definite integrals and trigonometric identities.

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