👉 Simpson's rule is a method used in calculus for approximating definite integrals, particularly when computing area under curves or surface areas. It involves iteratively applying two rules:
1.
Rule 1
: For any function \(f(x)\), if \(\int_{a}^{b} f(x) dx = A\), then
\[ \int_{a}^{b} (x - a) f(x) dx = A - b^2 f(b