|---| | [ View source on GitHub](https://github.com/tensorflow/probability/blob/v0.25.0/tensorflow_probability/python/math/integration.py#L30-L90) | Integrate y(x) on the specified axis using the trapezoidal rule. tfp.math.trapz( y, x=None, dx=None, axis=-1, name=None ) Computes ∫ y(x) dx ≈ Σ \[0.5 (y*k + y*{k+1}) \* (x_{k+1} - x_k)\]


| ## Args || |---|---| | `y` | Float `Tensor` of values to integrate. | | `x` | Optional, Float `Tensor` of points corresponding to the y values. The shape of x should match that of y. If x is None, the sample points are assumed to be evenly spaced dx apart. | | `dx` | Scalar float `Tensor`. The spacing between sample points when x is None. If neither x nor dx is provided then the default is dx = 1. | | `axis` | Scalar integer `Tensor`. The axis along which to integrate. | | `name` | Python `str` name prefixed to ops created by this function. Default value: `None`, uses name='trapz'. |



| ## Returns || |---|---| | Float `Tensor` integral approximated by trapezoidal rule. Has the shape of y but with the dimension associated with axis removed. ||