Chapter 4.3, Problem 48E

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) ${\displaystyle {\int }_0^1-f(x)dx}$ (b) ${\displaystyle {\int }_3^{4}3f(x)dx}$

(c) ${\displaystyle {\int }_0^{7}f(x)dx}$ (d) ${\displaystyle {\int }_5^{11}f(x)dx}$

(e) ${\displaystyle {\int }_0^{11}f(x)dx}$ (f) ${\displaystyle {\int }_4^{10}f(x)dx}$