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Mathematics
Mathematics
Problem
Evaluate the following integrals. a. (a)
∫
x
1
+
x
2
d
x
\displaystyle \int \frac{x}{1+x^{2}}\,dx
∫
1
+
x
2
x
d
x
. b. (b) Hence, compute
∫
0
1
x
1
+
x
2
d
x
\displaystyle \int_{0}^{1} \frac{x}{1+x^{2}}\,dx
∫
0
1
1
+
x
2
x
d
x
.
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