$\mathop \smallint \nolimits_{\pi /6}^{\pi /3} \,\,\frac{1}{{1\,\, + \,\,{{\tan }^3}\,\,x}}\,\,dx\;\,{\rm{is}}$

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

\int \nolimits_{\pi /6}^{\pi /3} \,\,\frac{1}{{1\,\, + \,\,{{\tan }^3}\,\,x}}\,\,dx\;\,\mathrm{is}

View answer and explanation

Correct option: A

\frac{\pi }{{12}}

Option A (

\frac{\pi}{{12}}

) is correct because using the property of definite integrals and adding the two forms of the integral leads to a simple result.

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