INTEGRATION

INTEGRATION

1. Determine the charge entering a terminal between t= 1s and t= 2s. If the current passing through the terminal is i= (3t^2 -t) A

2. Take out all the information given

   • Analyze which formula to be use
     • i= dQ/dt
       • i dt= dQ
         • Q= ∫ i dt
           • Q= ∫ (3t^2 -t)
             • Q= [3t^3/3 - t^2/2]
               • for upper limit (2); [ 3(2)^3 /3 - (2)^2/2 ]
               • for lower limit (1); [ 3(1)^3 /3 - (1)^2/2 ]
                 • Q= 6 - 0.5
                   • Q= 5.5 C
   • i= (3t^2 -t) A