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Whether you want to program a calculator or just approximation an integral on paper, break out some numerical approximation tools like Simpson's Rule and the Trapezoid Rule.

Using Simpson's rule, approximate \(\displaystyle{\int_0^1(5x^2+1)dx}.\)

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Approximate \(\displaystyle{\int_{0}^{6}(x^3-x^2-7x-11)dx}\) using Simpson's rule.

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