Discussion
Match the technique with the situation it suits. 1. Substitution 2. Integration by parts 3. Partial fractions P. A product of unlike functions Q. A composite function with its inner derivative present R. A proper rational function
Answer: C
Substitution undoes a chain rule, so it wants the inner function's derivative as a factor. Parts undoes a product rule and suits a product of functions of different kinds. Partial fractions splits a rational function into pieces each of which integrates to a logarithm or an inverse tangent
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