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Substituting t = f(x), what does f'(x)/f(x) integrate to?

Alog|f(x)| + c
Bf(x)^2/2 + c
C1/f(x) + c
D2 sqrt(f(x)) + c
Answer & Solution
Correct answer: A. log|f(x)| + c
Substituting t = f(x) turns the integral into the integral of dt/t, which is log|t|.
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