Trapezoidal Rule

This animation visualizes the trapezoidal rule approximating the area under the curve $f(x) = \frac{1}{4}x^2 + 1$ on the interval $[0, 4]$. It demonstrates how the numerical estimate converges to the exact value of $\frac{28}{3}$ as the number of trapezoids doubles from 1 to 8, with the error decreasing by a factor of four at each step