Reimann Sums to approximate integral

Suppose I want to use Reimann sums to approximate the integral of the function y=x^2 with bounds 4<x<7. I want to use various step sizes and output the approximations into a single vector. The step sizes are h=1, 2^-1,2^-2,2^-3.....2^-16.

How would I solve this with..

-Left Reimann Sum

-Right Reimann Sum

-Midpoint Reimann Sum

-Trapezoid Rule

-Simpsons Rule