Answer: In Exercises 1 to 12, use the given functions f and g to find f g f g, fg, and

Topics​ C ​ overed:​ ​​ Fundamental​ ​Theorem​ ​of​ ​Calculus(FTOC), Indefinite​ I ​ ntegral,​ ​and​ ​Substitution​ R ​ ule ● Fundamental​ ​Theorem​ ​of​ ​Calculus: ○ Definition​:​ ​If​ ​​f​ ​​is​ ​continuous​ ​on​ ​the​ ​closed​ ​interval​ ​[a,b]​ ​and​ ​F(antiderivative of​ ​​f​)​ ​is​ ​the​ ​indefinite​ ​integral​ ​of​ ​[a,b]​ ​,then​ ​∫​ ​from​ ​a→b​ ​(f(x))dx)​ ​=​ ​F(b)-F(a). ○ Examples​:Evaluate​ ​the​ i​ ntegral:​ ∫ ​ ​ ​from​ ​3→1​ ​ x*dx) ■ F(x)=x^2/2​ ​then​ ​plug​ ​in​ ​the​ ​closed​ ​intervals​ ​which​ ​are​ ​[1,3]​ ​and subtract. ​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​=((3​ /2)-((1​ )/2) ​ ​​