\[ \int \frac {1}{81} e^{\frac {1}{81} \left (81 e^{-1+2 x}+e^{-1+x} \left (81 x^2+11250 x^5+390625 x^8\right )\right )} \left (162 e^{-1+2 x}+e^{-1+x} \left (162 x+81 x^2+56250 x^4+11250 x^5+3125000 x^7+390625 x^8\right )\right ) \, dx \]
Optimal antiderivative \[ {\mathrm e}^{\left (\left (\frac {625}{9} x^{4}+x \right )^{2}+{\mathrm e}^{x}\right ) {\mathrm e}^{-1+x}} \]
command
integrate(1/81*(162*exp(-1+x)*exp(x)+(390625*x^8+3125000*x^7+11250*x^5+56250*x^4+81*x^2+162*x)*exp(-1+x))*exp(exp(-1+x)*exp(x)+1/81*(390625*x^8+11250*x^5+81*x^2)*exp(-1+x)),x, algorithm="giac")
Giac 1.9.0-11 via sagemath 9.6 output
\[ e^{\left (\frac {390625}{81} \, {\left (x - 1\right )}^{8} e^{\left (x - 1\right )} + \frac {3125000}{81} \, {\left (x - 1\right )}^{7} e^{\left (x - 1\right )} + \frac {10937500}{81} \, {\left (x - 1\right )}^{6} e^{\left (x - 1\right )} + \frac {21886250}{81} \, {\left (x - 1\right )}^{5} e^{\left (x - 1\right )} + \frac {27400000}{81} \, {\left (x - 1\right )}^{4} e^{\left (x - 1\right )} + \frac {21987500}{81} \, {\left (x - 1\right )}^{3} e^{\left (x - 1\right )} + \frac {11050081}{81} \, {\left (x - 1\right )}^{2} e^{\left (x - 1\right )} + \frac {3181412}{81} \, {\left (x - 1\right )} e^{\left (x - 1\right )} + e^{\left (2 \, x - 1\right )} + \frac {401956}{81} \, e^{\left (x - 1\right )}\right )} \]
Giac 1.7.0 via sagemath 9.3 output
\[ \text {Exception raised: TypeError} \]________________________________________________________________________________________