Arguably one of the more challenging concepts to learn in integral calculus, integration by parts is the process by which you find the integral of 2 expressions multiplied together. The most common formula for doing this is "udv = uv -integral(vdu)," but an easier way to view it is "uv = (u * integral(v)) - (integral(u' - integral(v))"
Integration by parts is a very tricky concept to learn at first, but with some time and practice can become easier to do and often amusing for calculus students.
by University of Markov December 30, 2021