>>> 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.