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Thus, we can use function IBP to provide the components of an integration by
parts. The next step will have to be carried out separately.
It is important to mention that the integral can be calculated directly by using,
for example,
Integration by partial fractions
Function PARTFRAC, presented in Chapter 5, provides the decomposition of a
fraction into partial fractions. This technique is useful to reduce a complicated
fraction into a sum of simple fractions that can then be integrated term by
term. For example, to integrate
∫
+
+
+
dX
X
X
X
X
3
4
5
2
5
we can decompose the fraction into its partial component fractions, as follows:
The direct integration produces the same result, with some switching of the
terms (Rigorous mode set in the CAS – see Chapter 2):
