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: 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 func. 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.

See also

quad
single integral
tplquad
triple integral
nquad
N-dimensional integrals
fixed_quad
fixed-order Gaussian quadrature
quadrature
adaptive Gaussian quadrature
odeint
ODE integrator
ode
ODE integrator
simps
integrator for sampled data
romb
integrator for sampled data
scipy.special
for coefficients and roots of orthogonal polynomials

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