Explain whether the function is continuous at if has a jump discontinuity at

MATHEMATICS · Subjective · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Explain whether the function

F(x)=5+\int_{0}^{x} f(t)\,dt

is continuous at

x=2

f

has a jump discontinuity at

t=2

. Give a brief reason.