Calculate the probability that a particle in a

Question

Compute the following problems

Problem 1- Calculate the probability that a particle in a one-dimensional box of length a is found between 0.32a and 0.35a when it is described by the following wave function: sqrt (2/a) sin (pix/a)

Problem 2- Calculate the probability that a particle in a one-dimensional box of length a is found between 0.32a and 0.35a when it is described by the following wave function: sqrt (2/a) sin (3pix/a). What would you expect for a classical particle?

Clue: Integral of sin² (kx) dx = x/2 -1/4k sin (2kx) + C

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