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(Solved): use the trapezoid, overall, the midpoint rule, and Simpsons rule to approximate the given integral w ...



use the trapezoid, overall, the midpoint rule, and Simpsons rule to approximate the given integral with the specified value of n


\[
\int_{0}^{\pi / 2} \sqrt[3]{2+\cos (x)} d x, \quad n=4
\]
(a) the Trapezoidal Rule
(b) the Midpoint Rule
\[ \int_{0}^{\pi / 2} \sqrt[3]{2+\cos (x)} d x, \quad n=4 \] (a) the Trapezoidal Rule (b) the Midpoint Rule


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Solution- We have ?0?22+cos?(x)3dx, n=4 we find this integral using Trapezoidal Rule , Midpoint Rule and Simpson Rule
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