SCIPY integrate | Clutch Design in Python | Python for mechanical engineer | Integration in Python

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Following Text From : "https://docs.scipy.org/doc/scipy/tutorial/integrate.html"




The scipy.integrate sub-package provides several integration techniques including an ordinary differential equation integrator. An overview of the module is provided by the help command:

help(integrate)
Methods for Integrating Functions given function object.
quad -- General purpose integration.
dblquad -- General purpose double integration.
tplquad -- General purpose triple integration.
fixed_quad -- Integrate func(x) using Gaussian quadrature of order n.
quadrature -- Integrate with given tolerance using Gaussian quadrature.
romberg -- Integrate func using Romberg integration.

Methods for Integrating Functions given fixed samples.

trapezoid -- Use trapezoidal rule to compute integral.
cumulative_trapezoid -- Use trapezoidal rule to cumulatively compute integral.
simpson -- Use Simpson's rule to compute integral from samples.
romb -- Use Romberg Integration to compute integral from
-- (2**k + 1) evenly-spaced samples.

See the special module's orthogonal polynomials (special) for Gaussian
quadrature roots and weights for other weighting factors and regions.

Interface to numerical integrators of ODE systems.

odeint -- General integration of ordinary differential equations.
ode -- Integrate ODE using VODE and ZVODE routines.