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

Compute a double integral.

Return the double (definite) integral of func(y,x) from x=a..b and y=gfun(x)..hfun(x).

Parameters : func : callable 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 : callable 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 : callable The upper boundary curve in y (same requirements as gfun). args : sequence, optional Extra arguments to pass to func2d. epsabs : float, optional Absolute tolerance passed directly to the inner 1-D quadrature integration. Default is 1.49e-8. epsrel : float Relative tolerance of the inner 1-D integrals. Default is 1.49e-8. y : float The resultant integral. abserr : float An estimate of the error.

single integral
triple integral