Answer
$$\int (2x+9)e^{x}dx=(2x+7)e^{x}+C$$
Work Step by Step
${\left ((2x+9)e^{x} \right )}'=2e^{x}+(2x+9)e^{x}$ $$(2x+9)e^{x}={\left ((2x+9)e^{x} \right )}'-2e^{x}$$ $$\int (2x+9)e^{x}dx=(2x+9)e^{x}-2\int e^{x}dx$$ $$=(2x+9)e^{x}-2e^{x}+C$$ $$=(2x+7)e^{x}+C$$
