Suppose f(x) is differentiable on (−+),
F(x)=xf(t)dt
With the boundaries being from 1/x to 0.
for x/=0. then, what is F(x)?
Sorry for the sloppy notation, I'm not sure the math code for integrals and such. I'm not sure how to go about solving this question. I need to ultimately find the derivative, but first I believe I need to integrate. However, I do not know f(t), so how can I integrate it? As well, there are two different variables... So confused. Any help would be greatly appreciated...
Read this: The Second Fundamental Theorem of Calculus