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The Trapezoidal Rule is a numerical integration technique that approximates the area under the curve by integrating the areas of various trapezoids. The number of partitions \(n\) may either be even or odd.
\(\displaystyle T_n=\frac{b-a}{2n}\big(f(x_0)+2f(x_1)+\cdots+2f(x_{n+-1})+f(x_n) \big)\)
\(\displaystyle \Delta x=\frac{b-a}{n}\quad
\displaystyle x_k=a+k\Delta x\)
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Approximate the given interval using the Trapezoidal Rule using the indicated partitions \(n\).
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