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## Homework Statement

A particle is in a box of width L. Calculate the probability to find the particle in the region [L/4, 3L/4] when the particle is a) in the ground state b) in the first excited state.

## Homework Equations

(2/L)sin(n*π*x/L)^2 dx is the probability in [x, x+dx]

## The Attempt at a Solution

Integrating that gives me 2/L[x/2-[L/(4π)]sin(2n*π*x/L)], boundaries being L/4 and 3L/4. For a) n=1 and b) n=2, right? After I plug in the values, I get value greater than 1. Where have I gone wrong?

Hopefully this is readable, no LaTeX.