Numerical Analysis Questions
The concept of numerical integration involves approximating the definite integral of a function using numerical methods. It is used when the integral cannot be evaluated analytically or when the function is given only by a set of data points. Numerical integration methods involve dividing the interval of integration into smaller subintervals and approximating the area under the curve within each subinterval using techniques such as the trapezoidal rule, Simpson's rule, or Gaussian quadrature. These methods provide an estimate of the integral value and can be used to obtain accurate results for a wide range of functions.