jee-advanced 2010 Q41

jee-advanced · India · paper1 Indefinite & Definite Integrals Definite Integral Evaluation (Computational)

The value(s) of $\int _ { 0 } ^ { 1 } \frac { x ^ { 4 } ( 1 - x ) ^ { 4 } } { 1 + x ^ { 2 } } d x$ is (are)
A) $\frac { 22 } { 7 } - \pi$
B) $\frac { 2 } { 105 }$
C) 0
D) $\frac { 71 } { 15 } - \frac { 3 \pi } { 2 }$

The value(s) of $\int _ { 0 } ^ { 1 } \frac { x ^ { 4 } ( 1 - x ) ^ { 4 } } { 1 + x ^ { 2 } } d x$ is (are)\\
A) $\frac { 22 } { 7 } - \pi$\\
B) $\frac { 2 } { 105 }$\\
C) 0\\
D) $\frac { 71 } { 15 } - \frac { 3 \pi } { 2 }$

Paper Questions

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