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Numerical Integration and Differentiation

Quadratures, double and triple integrals, and multidimensional derivatives


integral Numerical integration
integral2 Numerically evaluate double integral
integral3 Numerically evaluate triple integral
quadgk Numerically evaluate integral, adaptive Gauss-Kronrod quadrature
quad2d Numerically evaluate double integral, tiled method
cumtrapz Cumulative trapezoidal numerical integration
trapz Trapezoidal numerical integration
polyint Polynomial integration
del2 Discrete Laplacian
diff Differences and Approximate Derivatives
gradient Numerical gradient
polyder Polynomial differentiation


Integration to Find Arc Length

This example shows how to parametrize a curve and compute the arc length using integral.

Complex Line Integrals

This example shows how to calculate complex line integrals using the 'Waypoints' option of the integral function.

Singularity on Interior of Integration Domain

This example shows how to split the integration domain to place a singularity on the boundary.

Analytic Solution to Integral of Polynomial

This example shows how to use the polyint function to integrate polynomial expressions analytically.

Integration of Numeric Data

This example shows how to integrate a set of discrete velocity data numerically using trapz to approximate the total distance traveled.

Calculate Tangent Plane to Surface

This example shows how to approximate gradients of a function by finite differences.

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