Properties of the Indefinite Integral ●Theorem Suppose that F(x),G(x)are antiderivatives of fx),g(x),respectively,and c is a constant.Then OA constant factor can be moved through an integral sign: ∫cf(xdx=cF(x)+C OAn antiderivation of a sum(difference)is the sum (difference)of the antiderivatioves: [Jf(x)±g(O)]=F(x)士G()+C Properties of the Indefinite Integral ⚫Theorem Suppose that F(x), G(x) are antiderivatives of f(x),g(x), respectively, and c is a constant. Then A constant factor can be moved through an integral sign: An antiderivation of a sum (difference) is the sum (difference) of the antiderivatioves: cf x dx cF x C ( ) ( ) = +    f x g x dx F x G x C ( ) ( ) ( ) ( )  =  +   