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Definite Integration question

2020 · 9 Jan · Shift 1 · Q24

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PYQ Library
JEE Main
Mathematics
Definite Integration
2020 · 9 Jan · Shift 1 · Q24

Definite Integration question

2020 · 9 Jan · Shift 1 · Q24

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

The value of

\int\limits_0^{2\pi } {{{x{{\sin }^8}x} \over {{{\sin }^8}x + {{\cos }^8}x}}} dx

is equal to :

A
4 $\pi$
B
2 $\pi$
C
$\pi$ 2
D
2 $\pi$ 2

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