antiderivative#
- CubicHermiteSpline.antiderivative(nu=1)[source]#
Construct a new piecewise polynomial representing the antiderivative.
Antiderivative is also the indefinite integral of the function, and derivative is its inverse operation.
- Parameters:
- nuint, optional
Order of antiderivative to evaluate. Default is 1, i.e., compute the first integral. If negative, the derivative is returned.
- Returns:
- ppPPoly
Piecewise polynomial of order k2 = k + n representing the antiderivative of this polynomial.
Notes
The antiderivative returned by this function is continuous and continuously differentiable to order n-1, up to floating point rounding error.
If antiderivative is computed and
self.extrapolate='periodic'
, it will be set to False for the returned instance. This is done because the antiderivative is no longer periodic and its correct evaluation outside of the initially given x interval is difficult.