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Mathematics
Problem
Determine
∫
12
x
(
4
x
2
+
1
)
3
d
x
\displaystyle \int \frac{12x}{(4x^{2}+1)^{3}}\,dx
∫
(
4
x
2
+
1
)
3
12
x
d
x
. a)
−
3
2
(
4
x
2
+
1
)
2
+
C
-\dfrac{3}{2(4x^{2}+1)^{2}}+C
−
2
(
4
x
2
+
1
)
2
3
+
C
b)
−
3
4
(
4
x
2
+
1
)
2
+
C
-\dfrac{3}{4(4x^{2}+1)^{2}}+C
−
4
(
4
x
2
+
1
)
2
3
+
C
c)
−
3
4
(
4
x
2
+
1
)
2
+
C
-\dfrac{3}{4}(4x^{2}+1)^{2}+C
−
4
3
(
4
x
2
+
1
)
2
+
C
d)
3
4
(
4
x
2
+
1
)
2
+
C
\dfrac{3}{4(4x^{2}+1)^{2}}+C
4
(
4
x
2
+
1
)
2
3
+
C
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