I have a wave function Ψ(x) = Ce^(-a(abs(x-2))) and I have to find <x>. I know that <x> = ∫x|ψ|2 dx (where the integral is from -Inf to Inf) so <x> = ∫xCe^(-2a(abs(x-2)))dx where this C is actually C^2 but I can just make it a new constant C and bring it out of the integral so I have C∫xe^(-2a(abs(x-2)))dx. I can't think of anyway to solve the integral so either I solved |ψ|2 incorrectly or there is some shortcut for solving an integral like that that I just don't know of. Can someone tell me whether or not I'm actually doing the correct steps so far? And if so, is there some kind of substitution I can use for solving the integral?