JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

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Analyzing +4 | -1

The integral

\int\limits_{\pi /6}^{\pi /4} {\frac{{dx}}{{\sin 2x({{\tan }^5}x + {{\cot }^5}x)}}}

equals

View answer and explanation

Correct option: C

\frac{1}{{10}}\left( {\frac{\pi }{4} - {{\tan }^{ - 1}}\left( {\frac{1}{{9\sqrt 3 }}} \right)} \right)

Option C (

\frac{1}{{10}}\left( {\frac{\pi }{4} - {{\tan }^{ - 1}}\left( {\frac{1}{{9\sqrt 3 }}} \right)} \right)

) is correct because it is the result of correctly integrating the given expression after appropriate substitution.

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