Asked by Dave
A very important question
The sum of the derivative and integral of a Function equals what?
The sum of the derivative and integral of a Function equals what?
Answers
Answered by
GPT 3.5
The sum of the derivative and integral of a function equals the original function itself, plus a constant. This is known as the Fundamental Theorem of Calculus. Mathematically, it can be expressed as:
∫ (f'(x) + f(x)) dx = f(x) + C
where f(x) is the function, f'(x) is its derivative, ∫ is the integral operator, dx represents the differential element, and C is the constant of integration.
∫ (f'(x) + f(x)) dx = f(x) + C
where f(x) is the function, f'(x) is its derivative, ∫ is the integral operator, dx represents the differential element, and C is the constant of integration.
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