Question

Difference between trapezoidal and prismoidal rule

Answer 1

prismoidal rule and the Trapezoidal rule are approximations of the definite integral of a function. If the definite integral int_a^b f(x) has to be determined, the expression to approximate the value of the integral is given by the two rules as follows:

Simpson's rule: int_a^b f(x) = ((b-a)/6)*(f(a) + 4*f((a+b)/2)+f(b))
Trapezoidal rule: int_a^b f(x) = (b-a)*(f(a)+f(b))/2

The Trapezoidal rule determines the area under the graph by approximating it to that of a trapezoid.prismoidal rule...

Hope this will help you.... ✌