Numerical integration example problems

1. What is numerical integration with example?
2. How do you integrate a problem numerically?
3. What is numerical integration used for?

What is numerical integration with example?

Numerical integration is the method to calculate the approximate value of the integral by using numerical techniques. There are various useful and interesting methods for numerical integration such as trapezoidal rule, Simpson's rules, Gauss's, Newton-Leibnitz rules etc.

How do you integrate a problem numerically?

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 used for?

In analysis, numerical integration comprises a broad family of algorithms for calculating the numerical value of a definite integral, and by extension, the term is also sometimes used to describe the numerical solution of differential equations.