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2. Use Gauss-Legendre integration with 3 points and with 4 points to evaluate the integral 021+x2exsinxdx In other words, first make a substitution such that

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2. Use Gauss-Legendre integration with 3 points and with 4 points to evaluate the integral 021+x2exsinxdx In other words, first make a substitution such that the integral ranges from -1 to 1 . Specifically, t=x1. Replace each x in terms of t. Then use the Gauss-Legendre formula, 11f(x)dx=i=0n1cif(xi) See the lecture 21 notes for the coefficients ci and locations xi for using n=3 points. For n=4 points, see a handout Gauss_Legendre.pdf in Brightspace, module "resources", sub-module "integration

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