Discussion
Put these steps of integrating a proper rational function in order. 1. Solve for the unknown constants 2. Integrate each simple fraction separately 3. Write the sum of fractions with unknown numerators 4. Factorise the denominator completely
Answer: A
The factors must be found before the shape of the decomposition is known, so factorisation comes first. The sum is then written with unknown numerators, whose values follow from comparing coefficients or substituting convenient values. Only with numbers in place is each piece integrated
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