scipy.integrate.dblquad

scipy.integrate.dblquad(func, a, b, gfun, hfun, args=(), epsabs=1.4899999999999999e-08, epsrel=1.4899999999999999e-08)

Compute the double integral of func2d(y,x) from x=a..b and y=gfun(x)..hfun(x).

Parameters :

func2d : function

a Python function or method of at least two variables: y must be the first argument and x the second argument.

(a,b) : tuple

the limits of integration in x: a < b

gfun : function

the lower boundary curve in y which is a function taking a single floating point argument (x) and returning a floating point result: a lambda function can be useful here.

hfun : function

the upper boundary curve in y (same requirements as gfun).

args :

extra arguments to pass to func2d.

epsabs : float

absolute tolerance passed directly to the inner 1-D quadrature integration.

epsrel : float

relative tolerance of the inner 1-D integrals.

Returns :

y : float

the resultant integral.

abserr : float

an estimate of the error.

See also: :

quad - single integral tplquad - triple integral fixed_quad - fixed-order Gaussian quadrature quadrature - adaptive Gaussian quadrature odeint, ode - ODE integrators simps, trapz, romb - integrators for sampled data scipy.special - for coefficients and roots of orthogonal polynomials