been having trouble getting results in CAS system

[parisse]

dy/dx is not a valid input.
For any value of n, you can get an approx value, but there is no closed form (at least for every boundary values without introducing special functions). You should realize that for a random expression, there is 0 chance to get a closed expression for the antiderivative. There are only a few classes of expression where it works. Math exercices are biaised, because they are almost all solvable, but it's not real life.