99.22 Problem number 2893

\[ \int \frac {f+e x}{(h+g x) \sqrt {d+\sqrt {c+\sqrt {b+a x}}}} \, dx \]

Optimal antiderivative \[ \mathit {Unintegrable} \]

command

integrate((e*x+f)/(g*x+h)/(d+(c+(a*x+b)^(1/2))^(1/2))^(1/2),x, algorithm="giac")

Giac 1.9.0-11 via sagemath 9.6 output

\[ \text {output too large to display} \]

Giac 1.7.0 via sagemath 9.3 output \[ \text {Exception raised: TypeError} \]_______________________________________________________