1. The problem statement, all variables and given/known data The current density in a cylindrical conductor of radius a placed along the z-axis is J=10e^-(1-ρ/a)Uz Find the current through the cross-section of the conductor. 2. Relevant equations I=JA A=(pi)a^2 3. The attempt at a solution So far I have this I=10e^-(1-ρ/a)Uz((pi)a^2) which I assume I am to integrate but what should I integrate with respect too and what should the limits be I am guessing from 0 to a?