1. The problem statement, all variables and given/known data The solution to the Schrodinger equation for a particular potential is psi = 0 for absolute x > a and psi = Asin(pi*x/a) for -a <= x <= a, where A and a are constants. In terms of a, what value of A is required to normalize psi? 2. Relevant equations psi = 0 for absolute value of > a psi = Asin(pi*x/a) for -a<= x <= a 3. The attempt at a solution The textbook gave the normalization as: [integral] psi^2 dx = 1. The integral has upper limit positive infinity and lower limit negative infinity. Can I just start by taking the integral of both sides of psi = Asin(pi*x/a)? which makes psi = A-cos(pi*x/a) * pi*x^2/(2a)?