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Mathematics
Problem
Determine the value of
∫
0
1
x
(
1
+
x
2
)
3
d
x
\displaystyle \int_{0}^{1} \frac{x}{(1+x^{2})^{3}}\,dx
∫
0
1
(
1
+
x
2
)
3
x
d
x
. a)
1
8
\dfrac{1}{8}
8
1
b)
3
16
\dfrac{3}{16}
16
3
c)
3
8
\dfrac{3}{8}
8
3
d)
3
32
\dfrac{3}{32}
32
3
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