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Mathematics
Problem
Which of the following is an antiderivative of
f
(
x
)
=
3
x
2
(
x
3
+
2
)
2
f(x)=\dfrac{3x^{2}}{(x^{3}+2)^{2}}
f
(
x
)
=
(
x
3
+
2
)
2
3
x
2
? a)
ln
∣
x
3
+
2
∣
+
C
\ln|x^{3}+2|+C
ln
∣
x
3
+
2∣
+
C
b)
1
x
3
+
2
+
C
\dfrac{1}{x^{3}+2}+C
x
3
+
2
1
+
C
c)
−
1
x
3
+
2
+
C
-\dfrac{1}{x^{3}+2}+C
−
x
3
+
2
1
+
C
d)
−
3
x
3
+
2
+
C
-\dfrac{3}{x^{3}+2}+C
−
x
3
+
2
3
+
C
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