scipy.integrate.dblquad¶

scipy.integrate.dblquad(func, a, b, gfun, hfun, args=(), epsabs=1.49e-08, epsrel=1.49e-08)[source]¶

Compute a double integral.

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

Parameters:

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 : float 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 func. epsabs : float, optional Absolute tolerance passed directly to the inner 1-D quadrature integration. Default is 1.49e-8. epsrel : float, optional Relative tolerance of the inner 1-D integrals. Default is 1.49e-8.
Returns:	y : float The resultant integral. abserr : float An estimate of the error.

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 : float

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 func.

epsabs : float, optional

Absolute tolerance passed directly to the inner 1-D quadrature integration. Default is 1.49e-8.

epsrel : float, optional

Relative tolerance of the inner 1-D integrals. Default is 1.49e-8.

Returns:

y : float

The resultant integral.

abserr : float

An estimate of the error.