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Mathematics
Problem
∫
x
d
x
1
+
x
2
+
(
1
+
x
2
)
3
\int \frac{x\,dx}{\sqrt{1+x^2} + \left(\sqrt{1+x^2}\right)^3}
∫
1
+
x
2
+
(
1
+
x
2
)
3
x
d
x
is equal to a.
1
2
ln
(
1
+
1
+
x
2
)
+
C
\frac{1}{2} \ln(1 + \sqrt{1+x^2}) + C
2
1
ln
(
1
+
1
+
x
2
)
+
C
b.
2
1
+
1
+
x
2
+
C
2\sqrt{1 + \sqrt{1+x^2}} + C
2
1
+
1
+
x
2
+
C
c.
2
(
1
+
1
+
x
2
)
+
C
2(1 + \sqrt{1+x^2}) + C
2
(
1
+
1
+
x
2
)
+
C
d. None of these
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