Which mathematical process is considered the reverse of differentiation?

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The mathematical process that is considered the reverse of differentiation is integration. When you differentiate a function, you find the rate at which that function is changing at any given point, effectively determining its derivative. Integration, on the other hand, seeks to find the original function from its derivative, which is often described as finding the area under the curve for a given function.

In the context of calculus, these two operations are closely linked through the Fundamental Theorem of Calculus, which establishes that differentiation and integration are inverse processes. This means that if you take the integral of a function and then differentiate that result, you will return to the original function, assuming you account for any constant factors.

This relationship between differentiation and integration is foundational in calculus, making integration the correct answer when identifying the reverse process of differentiation.

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