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Mathematics
Problem
For the integral
∫
x
(
x
2
+
1
)
5
d
x
\displaystyle \int x\,(x^{2}+1)^{5}\,dx
∫
x
(
x
2
+
1
)
5
d
x
, which substitution would most directly simplify the integrand? a)
u
=
(
x
2
+
1
)
5
u = (x^{2}+1)^{5}
u
=
(
x
2
+
1
)
5
b)
u
=
x
2
u = x^{2}
u
=
x
2
c)
u
=
x
2
+
1
u = x^{2}+1
u
=
x
2
+
1
d)
u
=
5
(
x
2
+
1
)
4
u = 5(x^{2}+1)^{4}
u
=
5
(
x
2
+
1
)
4
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