1. The problem statement, all variables and given/known data Evaluate the integral. (Use C for the constant of integration.) ∫te ^ (-9t) dt 2. Relevant equations ∫udv = uv - ∫vdu u=t dv= e ^ (-9t) dt du=dt v=(-1/9) e ^(-9t) 3. The attempt at a solution = -1/9 te^(-9t) - ∫-1/9 e ^(-9t) dt Second Integral: w=-9t dw=-9dt -81∫-1/9 * -81 e ^(-9t) dt -81∫e^w * w -81 * e^(-9t) +C Final Answer: = -1/9 te^(-9t) + 81 e ^(-9t) +C This answer isn't right and I'm not sure where I'm going wrong, so any help would be appreciated. Thanks!!