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Reimann Sums to approximate integral

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Vince Smith
Vince Smith 2019-5-29
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

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