1. The problem statement, all variables and given/known data Integrate 1/(1-secx)dx by multiplying the integrand by a form of 1. 2. Relevant equations any sort of trig identity? 3. The attempt at a solution I've tried multiplying by forms of 1 such as secx+tanx, secx-tanx, and others, but when i do, i just end up with a messy looking integrand. any pointers with this and any other problems like it?