Recent content by jonsteadinho

i think the original function can be split into partial fractions, and each integrated separately, giving a some log function.

Thanks for the advice Dick. I thought of a function g(x) = x^2sin (1/x) at x not equals to 0 and g(x) = 0 when x = 0 Such a function is differentiable and g'(x) = f(x) = 2x sin (1/x) - cos (1/x) when x not equal 0 and 0 when x = 0 Yet, can't we say that such a function f is integrable on...

Homework Statement Suppose g is a differentiable on [a,b] and f = g', then does there exist a function f which is not integrable? Homework Equations The Attempt at a Solution I've tried to look at pathological functions such as irrational, rational piecewise functions. but the...