Chapter 5.4, Problem 4MP

Matched Problem 4 Using the same integral values given in Example 4, find

(A) ${\displaystyle {\int }_3^{2}6x^2}dx$

(B) ${\displaystyle {\int }_0^2(9x^2-4x)}dx$

(C) ${\displaystyle {\int }_2^{0}3x}dx$

(D) ${\displaystyle {\int }_{-2}^{-2}3x}dx$

(E) ${\displaystyle {\int }_0^{3}12x^2}dx$

EXAMPLE 4 Using Properties of the Definite Integral If

$\begin{array}{lll}{\displaystyle {\int }_0^{2}xdx=2}\hfill & {\displaystyle {\int }_0^2{x}^{2}dx=\frac{8}{3}}\hfill & {\displaystyle {\int }_2^3{x}^{2}dx=\frac{19}{3}}\hfill \end{array}$