The limit of the Riemann sum limn→[infinity]∑i=1n13+5in⋅5n can be expressed as a definite integral in many different ways. Find three of them with the limits of integration specified below. (a) ∫50 functionsequation editor dx (b) ∫83 functionsequation editor dx (c) ∫10 functionsequation editor dx

Part A: Rectangle, because it is parallel to the base and if you look from the top of the figure it looks like a rectangle, if that makes any sense.

Part B: Triangle, because you're cutting vertically, and if you look at it from the side it would look like a triangle.