Answer b, c, d, e

Let F(x) = 5xx. (a) Use Mathematica to plot the graph of F(x) . (b) Show that F(x) is differentiable at x = 0. (c) Write F(x) as a piecewise function and find F'(x) (d) Show that (x|dx - F(b) - F(a). a (e) Use the result of part (d) to evaluate x dx. 2