antiderivative#
- PPoly.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.