Chapter 5 - Accumulating Change: Limits of Sums and the Definite Integral - 5.5 Activities - Page 373: 7

$$5.6\sin x - 3x + C$$

$$\eqalign{ & \int {\left( {5.6\cos x - 3} \right)} dx \cr & {\text{sum rule for derivatives}} \cr & = \int {5.6\cos x} dx - \int {3dx} \cr & {\text{use the constant multiple rule }}\int {kf\left( x \right)dx} = k\int {f\left( x \right)} dx \cr & = 5.6\int {\cos x} dx - 3\int {dx} \cr & {\text{integrate}} \cr & = 5.6\sin x - 3x + C \cr} $$