What is the concept of numerical methods for solving integral calculus in Numerical Analysis?

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What is the concept of numerical methods for solving integral calculus in Numerical Analysis?

The concept of numerical methods for solving integral calculus in Numerical Analysis involves approximating the value of a definite integral using numerical techniques. These methods aim to find an approximate solution to the integral when an exact solution is not feasible or too complex to obtain. Various numerical methods such as the trapezoidal rule, Simpson's rule, and Gaussian quadrature are used to divide the integral into smaller intervals and approximate the area under the curve. These methods provide an estimation of the integral value by evaluating the function at specific points within each interval and summing the results. The accuracy of the approximation depends on the number of intervals used and the specific numerical method employed.