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

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

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Application +4 | -1

The value of

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

View answer and explanation

Correct option: D

\frac{\mathrm{\pi }}{4}

Option D (

\frac{\mathrm{\pi}}{4}

) is correct because the integral can be solved using properties of definite integrals and trigonometric identities.

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