Quadrature Calculator Precision 81 calculates definite integrals of large variety of functions by tanh-sinh quadrature scheme. Numerical values are calculated with precision 81 digits. All calculation results are reflected in History rich-text-box, which can be saved in file or printedQuadrature Calculator Accuracy 81 calculates precise integrals of large variety of functions by tanh-sinh quadrature scheme. Numerical values are calculated with an accuracy of 81 digits. All calculation results can also be seen in the History in rich-text-box, which can be saved to file or printed
Numerical methods can be used for definite integral value approximation. Numerical integration is used in case of impossibility to evaluate antiderivative analytically and then calculate definite integral using Newton–Leibniz axiom.
Numerical integration of a single argument function can be represented as the area (or quadrature) calculation of a curvilinear trapezoid bounded by the graph of a given function, the x-axis, and vertical lines bounding given limits.
The integrand function is replaced by a simpler one (which has antiderivative) approximating the integrand with a given accuracy. Replacing the integrand with Lagrange polynomials evaluated at equally spaced points in given limits yields the Newton-Cotes integration formulas, such as:
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