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op amp intergrator differentiator

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Why is the input signal always given to the inverting terminal of op-amp in integrator and differentiator circuit? Can't we give the input signal in +ve terminal and obtain integration and differentiation?
 

Yes, but you need two matching RC combinations to form a differential integrator/differentiator.

Feeding the input to the positive input directly results in a 1+∫xdt respectively 1 + dx/dt function.

Consult analog circuit design text books for details.
 

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