Evaluate the integral using integration by parts with the indicated choices of u and dv. (Use C for the constant of integration.)
1. ∫xe9x dx; u = x, dv = e9x dx
2. ∫4x cos(3x) dx
3. ∫ln (squrt x) dx
4. ∫13z3ez dz
5. ∫t2 sin(2t) dt (from 0 to 6pi)