HP-49G+ indefinite integration

[HPCarnace]

You are right. There is no perfect CAS. You can try integrals that can be solved with the Risch algorithm like INTVX(EXP(1/(LN(X)+1))*((2*LN(X)+1)/X))) in CAS software. Sometimes you get results in different presentations or they just don't solve them like on the Ti NSpire CX CAS II, Ti Voyage 200, HP Prime. Sometimes it happens in the opposite direction, some integrals are solved in the TI NSpire CX CAS, but not the others.