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