Capacitor current in function of time

[jaumzaum]

In a circuit of 1 generator (U) 1 resistor (R) and one capacitor (C), how do I calculate the current i in function of time,
as well as the energy dissipated by the resistor during the time the capacitor is charged?

 

[Integral]

Sorry, you will need to show us some effort before you get any help.

 

[jaumzaum]

I have no idea on how to solve this.


I would try to integrate I

$\int \frac{C.dV}{dt}$

But V changes during time

I think $V = Q/C$
$V=U-R.i$ and
$Q = \int I.dt$

But how do I put all together?