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Calculus and Beyond Homework Help
Taylor Approximation: Show ∫f'(x)dx/f(x)=ln|f(x)|+C
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[QUOTE="Ray Vickson, post: 4703916, member: 330118"] There is nothing wrong with using the Fundamental Theorem of Calculus to solve the problem. To verify that ##\int f(x) \, dx = F(x) + C##, just check that ##F'(x) = f(x)##. That is an absolutely 100% correct way to do the question. In fact, such checking should [B]always be done[/B] out of habit, whenever you are faced with a possible formula for the indefinite integral F(x) of an integrand f(x). That is a good way to catch errors. [/QUOTE]
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Taylor Approximation: Show ∫f'(x)dx/f(x)=ln|f(x)|+C
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