Practice Problems: Trapezoidal Rule

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.

\(\displaystyle T_n=\frac{b-a}{2n}\big(f(x_0)+2f(x_1)+\cdots+2f(x_{n+-1})+f(x_n) \big)\)

\(\displaystyle \Delta x=\frac{b-a}{n}\quad
\displaystyle x_k=a+k\Delta x\)