double integration with the same variable

Question

I have the integral that I want to resolve. To calculate the flux of the electric machine, I have the following formula: $v_s= R_s \cdot i_s + \frac{\Phi _s}{dt}$ where $v_s, i_s, \Phi _s$ are voltage, current and electric flux. So to get the flux, I must integrate like this : $\phi_s = \int{\left (v_s - R_s \cdot i_s \right )dt}$. How can I calculate the Laplace Tranform of this flux, and what is the resulat. Thank you.