Approximate the following integral
Make a Matlab code to Approximate the following integral from 0 to 2, x^2e^(-x ^2) dx using h = 0.25. Using the following methods
Composite Trapezoidal rule.
Composite Simpsons rule.
Composite Midpoint rule.
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Suggest the piecewise constant interpolation of the function f(x)=sin(x), 0 <= x <= 381, at points x_i = ih, where h = 0.1. Thus, our interpolant satisfies v(x) = sin(ih), (i-0.5)h <= x < (i+0.5)h, for (i = 0, 1, ..., 3810).
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