Return definite integral of the spline between two given points.
- a : float
Lower limit of integration.
- b : float
Upper limit of integration.
- integral : float
The value of the definite integral of the spline between limits.
>>> from scipy.interpolate import UnivariateSpline >>> x = np.linspace(0, 3, 11) >>> y = x**2 >>> spl = UnivariateSpline(x, y) >>> spl.integral(0, 3) 9.0
which agrees with \(\int x^2 dx = x^3 / 3\) between the limits of 0 and 3.
A caveat is that this routine assumes the spline to be zero outside of the data limits:
>>> spl.integral(-1, 4) 9.0 >>> spl.integral(-1, 0) 0.0