What is the Trapezoidal rule in Numerical Analysis?

Numerical Analysis Questions



75 Short 69 Medium 40 Long Answer Questions Question Index

What is the Trapezoidal rule in Numerical Analysis?

The Trapezoidal rule is a numerical integration method used in Numerical Analysis to approximate the definite integral of a function. It divides the area under the curve into trapezoids and calculates the sum of the areas of these trapezoids to estimate the integral. The rule assumes that the function is approximately linear between adjacent points and uses this assumption to calculate the area. The accuracy of the Trapezoidal rule improves as the number of trapezoids increases.