\[ \int \frac {\sqrt {b+a x} \left (-g+f x^2\right )}{\left (e+d x^2\right ) \sqrt {c+\sqrt {b+a x}}} \, dx \]
Optimal antiderivative \[ \operatorname {Unintegrable} \]
command
Int[(Sqrt[b + a*x]*(-g + f*x^2))/((e + d*x^2)*Sqrt[c + Sqrt[b + a*x]]),x]
Rubi 4.17.3 under Mathematica 13.3.1 output
\[ \int \frac {\sqrt {b+a x} \left (-g+f x^2\right )}{\left (e+d x^2\right ) \sqrt {c+\sqrt {b+a x}}} \, dx \]
Rubi 4.16.1 under Mathematica 13.3.1 output
\[ \text {output too large to display} \]