1. The problem statement, all variables and given/known data I am given two waveforms (a square wave and DC) that define the maximum allowable operating parameters for an LED. I wish to derive the maximum allowable fully-rectified sine waveform (120hz). Square wave: 442mW peak, 0.1ms pulse width, 10% duty cycle DC: 87mW See attached PDF. Use the power on the right axis instead of current on the left. Also ignore the temperature stuff. I was trying to figure out why the energy for each waveform is different. Here is a link to the actual spec sheet: http://marktechopto.com/pdfs/Cree/LO566EBL3-70H-A3-MT%2003DEC07.pdf [Broken] This is a two-part question. First, how do I write the integral for the full-wave rectified sine? Note that the sinewave's x-axis intersection is advanced/delayed by ~1.12ms. Integrate from 0 to pi? Second, how do I deal with the fact that the total energy for the given waveforms is different? Or is this unsolvable? 2. Relevant equations 3. The attempt at a solution See PDF.