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# scipy.interpolate.Akima1DInterpolator.antiderivative

`Akima1DInterpolator.``antiderivative`(nu=1)

  Construct a new piecewise polynomial representing the antiderivative.

  Antiderivative is also the indefinite integral of the function, and derivative is its inverse operation.

  Parameters: | nu : int, optional Order of antiderivative to evaluate. Default is 1, i.e. compute the first integral. If negative, the derivative is returned.
  Returns: | pp : PPoly 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.