19.4 Problem number 1669

\[ \int \frac {\left (1+x^3\right )^{2/3} \left (2+x^3\right ) \left (4+3 x^3\right )}{x^6 \left (4+2 x^3+x^6\right )} \, dx \]

Optimal antiderivative \[ \mathit {Unintegrable} \]

command

int((x^3+1)^(2/3)*(x^3+2)*(3*x^3+4)/x^6/(x^6+2*x^3+4),x)

Maple 2022.1 output

\[\int \frac {\left (x^{3}+1\right )^{\frac {2}{3}} \left (x^{3}+2\right ) \left (3 x^{3}+4\right )}{x^{6} \left (x^{6}+2 x^{3}+4\right )}\, dx\]

Maple 2021.1 output

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