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Put t = f(x). Then f'(x) over sqrt(f(x)) integrates to what?

A2 sqrt(f(x)) + c
Blog sqrt(f(x)) + c
Csqrt(f(x)) + c
D1/(2 sqrt(f(x))) + c
Answer & Solution
Correct answer: A. 2 sqrt(f(x)) + c
With t = f(x) the integral becomes the integral of t^(-1/2) dt, which is 2 sqrt(t).
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