Problem of the month: Dec 4, 2014

Determine the antiderivative of f(x) = sqrt(x / (1 + x)). No computers or calculators allowed! (These give too complicated an answer, anyway.) Have an answer? Share it with Professor Hershkorn (nee Fermat) who writes "I have a particularly elegant solution, completely accessible to Calc II students, by the way. Unfortunately, there is not enough room in the margins to write it down."