Chapter 5.3, Problem 52E

Think About It The graph of f consists of line segments, as shown in the figure. Evaluate each definite integral by using geometric formulas.

(a) ${\displaystyle {\int }_0^1-f\left(x\right)dx}$

(b) ${\displaystyle {\int }_3^{4}3f\left(x\right)dx}$

(c) ${\displaystyle {\int }_0^{7}f\left(x\right)dx}$

(d) ${\displaystyle {\int }_5^{11}f\left(x\right)dx}$

(e) ${\displaystyle {\int }_0^{11}f\left(x\right)dx}$

(f) ${\displaystyle {\int }_4^{10}f\left(x\right)dx}$