1. The problem statement, all variables and given/known data (integrate)((cos(x)/(7*sin(x)+21)) 2. Relevant equations 3. The attempt at a solution I actually solved it, but I fear it might be wrong (that and my calculator says a different answer). Anyway, I factored a 1/7 out of the equation, to make the equation (1/7)(integrate)((cos(x)/(sin(x)+21)). I subsituted (sin(x)+21) for u, and made du cos(x). This made the integral (1/u), which I turned into ln(u). Now I had (1/7)*ln(u). I just rewrote that into ln(u)/7, then subbed sin(x)+21 into u, making the answer ln(sin(x)+21)/7. Did I do anything wrong here?