Question

Using Simpson's Rule how would I calculate area of a function?

Answer 1

Simpson's rule is an approximation method and is more accurate than the trapezoidal rule



the area between the x-axis, x = a, x = b and the function is

\[A \approx \frac{b - a}{6} [ f(a) + 4f(\frac{b + a}{2}) + f(b)]\]

there is a more complicated version depending on how many sub intervals you have
but I tend to stick with the simple version and use repeated applications