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7.4 Integration by Partial Fractions

whence the integral can be easily computed term-by-term: Z R(x) Q(x) dx = n å i=1 Z A i x a i dx = n å i=1 A i lnjx a ij+c We find the constants A i by putting the right hand side of over the common denominator Q(x) R(x) Q(x) = R(x) (x a 1) (x an) = A 1 x a 1 + + An x an and comparing numerators. Examples 1.According to the Theorem, there ...

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