Finding the normalization constant for a 1-D time independent wave function

[Jjohnson1osu]

Homework Statement

ψ(x)=A((2kx)-(kx)^2)
0≤X≤2/k
ψ(x)=0 everywhere else

I need to find A

Homework Equations

∫|ψ(x)|^2 dx=1

so I know I need to evaluate it between 0 and 2/k

The Attempt at a Solution

My problem is do I square the whole ψ(x)? If some one could point me in right direction I would really appreciate it.

 

[TSny]

Hello and welcome.

Yes, as long as ψ(x) is a real valued function, then |ψ(x)|² is just the square of ψ(x) (including the constant A).