Righthand and midpont rule for Riemann sums

I must program exc set 3 task 2(i) and 2(ii)

Perhaps too much asked here on the mapleprime forum to come up with the solutions for this programming task ?

I did already some investigation how the code roughly works 
 

Its a graphical programming task to let show the tread-riser outlines for a right -hand rule and mid-pointrule in a graph   

exc_set_3_task_1_a_b.mw

blz_61_exc_set_3.pdf

blz_62.pdf