The value of ∫₀^(2π) x sin ⁸ x sin ⁸x + cos ⁸x dx is equal to:

Integral Calculus: JEE Main 2020 Mathematics question

JEE Main 2020 · 9 Jan, Morning shift · Q3391

JEE Main 20209 Jan, Morning shiftMathematicsMediumIntegral Calculus369× since 2002

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

JEE Main 20209 Jan, Morning shiftMathematicsMediumIntegral Calculus369× since 2002

The value of

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

is equal to :