If the particle in the box is in the second excited state (i. e., n=3), what is the probability p that it is between x=l/3 and x=l? to find this probability, you will need to evaluate the integral ∫ll/3(2l−−√sin(nπxl))2dx=2l∫ll/3sin 2(nπxl)dx. express your answer as a number between 0 and 1 to three significant figures.