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## Main Question or Discussion Point

Hello, I recently learned about integrals in my high school calculus class. Yes, I know you add 1 to the exponent and divide the coefficient by that number, and the integral of a velocity over time graph gives the total distance traveled, but I have a different question: What is a quick and easy way to define an integral, as if explaining it to a non-mathematically minded individual?

Derivative of f(x): Rate at which the function is changing at point x

Integral of f(x): ?

Derivative of f(x): Rate at which the function is changing at point x

Integral of f(x): ?