JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Analyzing +4 | -1

The value of

\int_0^{2\pi } {\frac{{x{{\sin }^8}x}}{{{{\sin }^8}x + {{\cos }^8}x}}dx}

is equal to

View answer and explanation

Correct option: D

{\pi ^2}

Option D (

{\pi ^2}

) is correct because it is the value of the definite integral after applying properties of definite integrals to simplify it.

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