So I have this question:
Find f(x) so that ∫f(x)dx =1/2ln(x^2+ 1) +C
The answer that I got was:
f(x) = x/(x^2+1)
The reasoning behind it was because I know that f(x) = g'(x). So I found the derivative to the original equation. My question is if I did this correctly. I'm asking because it seems like the question was too easy, or I just messed up finding the derivative of : 1/2ln(x^2+1)+C.
Any help would be appreciated!
Find f(x) so that ∫f(x)dx =1/2ln(x^2+ 1) +C
The answer that I got was:
f(x) = x/(x^2+1)
The reasoning behind it was because I know that f(x) = g'(x). So I found the derivative to the original equation. My question is if I did this correctly. I'm asking because it seems like the question was too easy, or I just messed up finding the derivative of : 1/2ln(x^2+1)+C.
Any help would be appreciated!