A miller integrator having a time constant of 1 ms and output that initially zero, when fed with a string of 10 us duration and 1-V amplitude rising from 0V. How many pulses are required for an output voltage change of 1 V?

My attempt: I tried equate the v0 to vi with there integrals from 0 to the time constant RC.

I guess my main focus is making sure im using the right form of signal equations for vo(t) and vin(t).

signal- Asin(wt)?

 

Note: I am a new member , but I am not trying to have someone do the whole answer i just need direction on where to go from here.

 

I think you are overcomplicating things. Since the question mentions pulses, then I would assume that your input is a train of square pulses.

You are to find how many pulses of amplitude of 1V and duration of 10us you need to integrate in order to get 1V.

 

A hint is that a miller integrator will charge to 1V with a 1Vdc input in one time-constant.