Math Indefinite integrals Integrate vs. differentiate

# 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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### Info

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