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Mathematics
Problem
∫
(
2
x
+
1
)
(
x
2
+
4
x
+
1
)
3
/
2
d
x
\int \frac{(2x+1)}{(x^2+4x+1)^{3/2}} dx
∫
(
x
2
+
4
x
+
1
)
3/2
(
2
x
+
1
)
d
x
a.
x
3
(
x
2
+
4
x
+
1
)
1
/
2
+
C
\frac{x^3}{(x^2+4x+1)^{1/2}} + C
(
x
2
+
4
x
+
1
)
1/2
x
3
+
C
b.
x
(
x
2
+
4
x
+
1
)
1
/
2
+
C
\frac{x}{(x^2+4x+1)^{1/2}} + C
(
x
2
+
4
x
+
1
)
1/2
x
+
C
c.
x
2
(
x
2
+
4
x
+
1
)
1
/
2
+
C
\frac{x^2}{(x^2+4x+1)^{1/2}} + C
(
x
2
+
4
x
+
1
)
1/2
x
2
+
C
d.
1
(
x
2
+
4
x
+
1
)
1
/
2
+
C
\frac{1}{(x^2+4x+1)^{1/2}} + C
(
x
2
+
4
x
+
1
)
1/2
1
+
C
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