quadax.trapezoid

quadax.trapezoid(y: Array | ndarray | bool | number | bool | int | float | complex, *, x: None | Array | ndarray | bool | number | bool | int | float | complex = None, dx: float = 1.0, axis: int = -1) → ArraySource

Integrate along the given axis using the composite trapezoidal rule.

If x is provided, the integration happens in sequence along its elements - they are not sorted.

Integrate y (x) along each 1d slice on the given axis, compute \(\int y(x) dx\). When x is specified, this integrates along the parametric curve, computing \(\int_t y(t) dt = \int_t y(t) \left.\frac{dx}{dt}\right|_{x=x(t)} dt\).

Parameters:

• y (array_like) – Input array to integrate.

• x (array_like, optional) – The sample points corresponding to the y values. If x is None, the sample points are assumed to be evenly spaced dx apart. The default is None.

• dx (scalar, optional) – The spacing between sample points when x is None. The default is 1.

• axis (int, optional) – The axis along which to integrate.

Returns:

trapezoid (float or ndarray) – Definite integral of y = n-dimensional array as approximated along a single axis by the trapezoidal rule. If y is a 1-dimensional array, then the result is a float. If n is greater than 1, then the result is an n-1 dimensional array.