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Mathematics
Problem
Evaluate the definite integral
∫
0
1
4
x
3
(
1
−
x
4
)
7
d
x
\displaystyle\int_{0}^{1} 4x^{3}\left(1 - x^{4}\right)^{7}\,dx
∫
0
1
4
x
3
(
1
−
x
4
)
7
d
x
. a)
1
16
\dfrac{1}{16}
16
1
b)
1
8
\dfrac{1}{8}
8
1
c)
−
1
8
-\dfrac{1}{8}
−
8
1
d)
1
7
\dfrac{1}{7}
7
1
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