Probability of finding a particle in an infinite well

[Titan97]

Homework Statement

For the particle in a box given in the above question, what is the probability of finding the electron between (i) x = 0.49 and 0.51, (ii) x = 0 and 0.020 and (ii) x=0.24 and 0.26 ( x in nm) for both n=1 and n=2. Rationalize your answers.

Homework Equations

$$\psi_n=\sqrt{\frac{2}{L}}\sin{\frac{n\pi}{L}x}$$

The Attempt at a Solution

Is the answer to each sub question $$\frac{2}{L}\int_{x_1}^{x_2}\sin^2{\frac{n\pi}{L}x}dx$$?

The trignometric values arent given. So is there anything that I am missing?

 

[kuruman]

Yes it is. I assume you know the value of L.