jee-main 2022 Q88

jee-main · India · session1_26jun_shift1 Indefinite & Definite Integrals Definite Integral Evaluation (Computational)
The value of the integral $\frac { 48 } { \pi ^ { 4 } } \int _ { 0 } ^ { \pi } \left( \frac { 3 \pi x ^ { 2 } } { 2 } - x ^ { 3 } \right) \frac { \sin x } { 1 + \cos ^ { 2 } x } \, dx$ is equal to $\_\_\_\_$. 
The value of the integral $\frac { 48 } { \pi ^ { 4 } } \int _ { 0 } ^ { \pi } \left( \frac { 3 \pi x ^ { 2 } } { 2 } - x ^ { 3 } \right) \frac { \sin x } { 1 + \cos ^ { 2 } x } \, dx$ is equal to $\_\_\_\_$.
Paper Questions
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