jee-main 2020 Q67

jee-main · India · session1_09jan_shift1 Indefinite & Definite Integrals Integral Equation with Symmetry or Substitution

The value of $\int _ { 0 } ^ { 2 \pi } \frac { x \sin ^ { 8 } x } { \sin ^ { 8 } x + \cos ^ { 8 } x } d x$ is equal to:
(1) $2 \pi$
(2) $2 \pi ^ { 2 }$
(3) $\pi ^ { 2 }$
(4) $4 \pi$

The value of $\int _ { 0 } ^ { 2 \pi } \frac { x \sin ^ { 8 } x } { \sin ^ { 8 } x + \cos ^ { 8 } x } d x$ is equal to:\\
(1) $2 \pi$\\
(2) $2 \pi ^ { 2 }$\\
(3) $\pi ^ { 2 }$\\
(4) $4 \pi$

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