Non-inverting integrator

The following circuit diagram shows the non-inverting integrator.

integrater29

Let the inverting terminal of op-amp is at potential ‘V’ and hence non-inverting terminal is also appears to be at the same potential ‘V’ due to virtual ground concept.
Input current to op-amp is zero. Hence at non-inverting terminal node we have

integrater30
Input current to op-amp is zero. Hence at inverting terminal node we have
integrater31
Substituting the values and Solving all the above equations we get,
integrater32
Integrating on both the sides, we get,

integrater33

All About Basic Electronics