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Mathematics
Problem
Explain why the definite integral
∫
1
4
1
(
x
−
1
)
(
x
+
2
)
d
x
\displaystyle\int_{1}^{4} \frac{1}{(x-1)(x+2)}\,dx
∫
1
4
(
x
−
1
)
(
x
+
2
)
1
d
x
results in an antiderivative that is a difference of natural logarithms rather than an algebraic or trigonometric expression.
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