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Mathematics
Problem
Prove the following (Exercises 32 to 37) 32.
∫
1
3
d
x
x
2
(
x
+
1
)
=
2
3
+
log
2
3
\int_{1}^{3} \frac{d x}{x^{2}(x+1)}=\frac{2}{3}+\log \frac{2}{3}
∫
1
3
x
2
(
x
+
1
)
d
x
=
3
2
+
lo
g
3
2
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