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Mathematics
Problem
Evaluate the definite integral
∫
0
1
4
x
(
1
+
x
2
)
5
e
(
1
+
x
2
)
6
d
x
.
\int_{0}^{1}4x(1+x^{2})^{5}e^{(1+x^{2})^{6}}\,dx.
∫
0
1
4
x
(
1
+
x
2
)
5
e
(
1
+
x
2
)
6
d
x
.
Give your answer in exact form.
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