The value of … is equal to :

Definite Integration

JEE Main 2020 · 9 Jan, Morning shift · Q3391

MathematicsMedium210×since 2002Q3391

The value of

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

is equal to :

JEE Main 2020 · 9 Jan, Morning shift · Q3391

MathematicsMedium210×since 2002Q3391

The value of

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

is equal to :