Give an example of a function that is integrable on the interval [-1,1], but not continuous on [-1,1]. Explain.

Answer 1

consider the function f(x)= 0 -1<x<0 and = 3 for 0<x<1

Integrated:
F= int f(x)dx over -1 to 0 + int f(x)dx from - to 1
= 0 + 7

Answer 2

am I missing something here?