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Mathematics
Problem
The value(s) of
∫
0
1
x
4
(
1
−
x
)
4
1
+
x
2
d
x
\int_{0}^{1} \frac{x^4(1-x)^4}{1+x^2} dx
∫
0
1
1
+
x
2
x
4
(
1
−
x
)
4
d
x
is (are) [JEE 2010] (A)
22
7
−
π
\frac{22}{7} - \pi
7
22
−
π
(B)
2
105
\frac{2}{105}
105
2
(C) 0 (D)
71
15
−
3
π
2
\frac{71}{15} - \frac{3\pi}{2}
15
71
−
2
3
π
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