\text { (a) Find an approximation to the integral } \int_{0}^{5}\left(x^{2}-4 x\right) d x \text { using a Riemann sum with right endpoints and } n=8 \text {. } (b)

Draw a diagram like the image displayed here to illustrate the approximation in part (a). \text { Use the theorem to evaluate } \int_{0}^{5}\left(x^{2}-4 x\right) d x (d) Interpret the integral in part (c) as a difference of areas and illustrate with a diagram like the image displayed here.