`scipy.integrate._rules._base:FixedRule.estimate`

source: /scipy/integrate/_rules/_base.py :201

Signature

def estimate ( self , f , a , b , args = () )

Summary

Calculate estimate of integral of f in rectangular region described by corners a and b as sum(weights * f(nodes)).

Extended Summary

Nodes and weights will automatically be adjusted from calculating integrals over $[- 1, 1]^{n}$ to $[a, b]^{n}$ .

Parameters

f : callable

Function to integrate. f must have the signature::: f(xndarray, *args) -> ndarray
f should accept arrays x of shape::: (npoints, ndim)
and output arrays of shape::: (npoints, output_dim_1, ..., output_dim_n)
In this case, estimate will return arrays of shape::: (output_dim_1, ..., output_dim_n)

a, b : ndarray

Lower and upper limits of integration as rank-1 arrays specifying the left and right endpoints of the intervals being integrated over. Infinite limits are currently not supported.

args : tuple, optional

Additional positional args passed to f, if any.

Returns

est : ndarray: Result of estimation. If f returns arrays of shape (npoints, output_dim_1, ..., output_dim_n), then est will be of shape (output_dim_1, ..., output_dim_n).

Aliases

scipy.integrate._rules.FixedRule.estimate