The current entering the positive terminal of a device is $\displaystyle i(t) = 3e^{-2t}[A]$

and the voltage across the device is $\displaystyle v(t) = 5\frac{di}{dt} [V]$

(a) Find the charge delivered to the device between $\displaystyle t=0$ and $\displaystyle t=2s$

I would presume we use the intergal

$\displaystyle Q \triangleq\int_{t_0}^t{idt}$

but didn't know how to use the $\displaystyle v(t) = 5\frac{di}{dt} V$ with this

the other related question are. (b) Calculate the power absorbed and (c) Determin the energy absorbed in $\displaystyle 3s$.