Analog integration and differentiation: a) Predict the time dependence of Vout for the analog integrator op-amp with a resistor value of 20k and capacitor value of 100 µF for each of the input signals at Vin (square, triangle, and sine) shown below. Graph each function and give an explicit formula (for one cycle), including numbers (based on measured input signal voltages and values of R and C). You may have built (or may be building) these (or similar) circuits in the lab. How do you expect your measured Vout signals will to compare to your predictions above (including voltage levels)? (Can you explain some possible discrepancies and the reasons for them)? 0 -5 50 10 и 5 Input Voltage (V) 0 5 4 i 2 0 2 5 6 7 8 00 Time (s) 6 10 b) Repeat the above for the analog differentiator. Is there one input signal that is more problematic than the others? If so, which one, and why? What do you think will happen in real life?