Chapter 11.1, Problem 2ED

(A)

To determine

To sketch: The graph $y=f\left(x\right)$ and discuss the reason for the function f is not continuous at $x=0$ and at $x=1$.

(B)

To determine

To find: The value of ${\displaystyle {\int }_0^{1}f\left(x\right)}dx$.

(C)

To determine

To discuss: The possible interpretation of the improper integral ${\displaystyle {\int }_{-\infty }^{\infty }f\left(x\right)}dx$.