The most commonly used techniques for numerical integration are the midpoint rule, trapezoidal rule, and Simpson's rule. The midpoint rule approximates the definite integral using rectangular regions whereas the trapezoidal rule approximates the definite integral using trapezoidal approximations.
What is numerical integration example?
Example: Use the trapezoidal rule to numerically integrate f(x)=0.2 + 25x + 3x 2 3 Page 4 from a = 0 to b = 2. Solution: f(0) = 0. 2, and f(2) = 62.
What is the best numerical integration method?
It depends on the problem, for example if the integrand is a smooth function the gaussian quadrature methods is the best, but if integrand is not smooth it is better we use local methods such as simpson. but it depends that how much the integrand is smooth.