[tex]\begin{gathered} A=\int_3^8(f(x)\text{ - }g(x))dx \\ A=\int_3^8(6x\text{ -}18\text{ -\lparen -}2x+3)dx \\ A=\int6x\text{ -}18\text{ }+2x\text{ -}3dx \\ A=\int8x\text{ -}21dx \\ A=\int8xdx\text{ -}\int21dx \\ A=4x^2\text{ -}21x \\ A=4(8^2)\text{ - }21(8)\text{ - \lparen4\lparen3}^2)\text{ -}21(3)) \\ A=256\text{ -}168\text{ -}(36\text{ - }63) \\ A=88\text{ + 27} \\ A=115 \\ \end{gathered}[/tex]
The area is 115
