Integrate vs. differentiate
Integration is the opposite operation of differentiation.
By integrating a derivative $f'(x)$ one obtains $f(x)$ and integrating again $F(x)$.
The integration can be reversed with differentiation.
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Overall difference between differential and integral calculus:
- Differential calculation: Calculation of the derivative of a antiderivative
=> differentiate - Integral calculus: Calculation of the antiderivative of the derivative
=> integrate