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Mathematics
Mathematics
Problem
Evaluate
∫
x
3
(
x
4
+
1
)
7
d
x
\displaystyle\int x^{3}(x^{4}+1)^{7}\,dx
∫
x
3
(
x
4
+
1
)
7
d
x
. a)
(
x
4
+
1
)
8
8
+
C
\dfrac{(x^{4}+1)^{8}}{8}+C
8
(
x
4
+
1
)
8
+
C
b)
8
(
x
4
+
1
)
8
+
C
8(x^{4}+1)^{8}+C
8
(
x
4
+
1
)
8
+
C
c)
(
x
4
+
1
)
8
32
+
C
\dfrac{(x^{4}+1)^{8}}{32}+C
32
(
x
4
+
1
)
8
+
C
d)
(
x
4
+
1
)
7
7
+
C
\dfrac{(x^{4}+1)^{7}}{7}+C
7
(
x
4
+
1
)
7
+
C
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