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Mathematics
Problem
Find
∫
3
x
2
x
3
+
1
d
x
\displaystyle\int \frac{3x^{2}}{\sqrt{x^{3}+1}}\,dx
∫
x
3
+
1
3
x
2
d
x
. a)
x
3
+
1
+
C
\sqrt{x^{3}+1}+C
x
3
+
1
+
C
b)
2
(
x
3
+
1
)
3
/
2
+
C
2(x^{3}+1)^{3/2}+C
2
(
x
3
+
1
)
3/2
+
C
c)
2
x
3
+
1
+
C
2\sqrt{x^{3}+1}+C
2
x
3
+
1
+
C
d)
2
3
x
3
+
1
+
C
\dfrac{2}{3}\sqrt{x^{3}+1}+C
3
2
x
3
+
1
+
C
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