1. The problem statement, all variables and given/known data Consider an hydrogen atom in its ground state, what is the probability that the electron is found inside the Bohr Radius? 2. Relevant equations The probability of finding the electron at bohr radius is maximum. but the probability over the range from 0 to bohr radius, is hard to visualize. 3. The attempt at a solution http://www.physics.uc.edu/~sitko/CollegePhysicsIII/28-AtomicPhysics/AtomicPhysics_files/image024.jpg graphically, the probability is area under the curve from 0 to bohr radius, but how to do it mathematically?