Question

Suppose f(x) is continuous on [a, b] except at a point in (a, b) at which f(x) has a jump discontinuity. For x in (a,b), set \(F(x) = \int _a^x f(t) dt\). Show that \(F(x) \) is continuous but not differentiable at x =c
Hint: first explain why f(x) is integrable on [a,b], then consider one-sided derivatives of F(x) at x =c
Please, help

Answer 1

@ikram002p

Answer 2

@empty