Task 1 cannot be solved without integrals because the normalization of the wavefunction and the calculation of expectation values require the use of integrals.I found solutions to the task without integrals, can that not be right?

I.) A particle in a one-dimensional harmonic oscillator potential has as its initial state a superposition of energy eigenstates, namely the normalised ground state and the normalised second excited state a) Normalise u (x,0) b) Determine u (x.t) and |up (x.t)|2 c) Calculate (x) and (p). d) Determine the expectation value of H. V(x, 0) = N [wo(x) + 1/2(z)] V (x, 0). (x, t) and | (x, t) |2 () ( p). H