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I've recently taken a Calculus 1 (Differential Calculus) course and I've been looking ahead to see what sort of material is covered in the Calculus 2 (Integral Calculus) course. I am wondering about the relationship between derivatives and integrals.

From what I understand, an integral is the area under a curve that is bounded on either side by random points and below by the x-axis. Is this right? If so, how is itgeometricallyrelated to the derivative, which is the slope of the tangent at a particular point along a curve?

I had this problem a while back with limits. Although I knew how to compute limits, I didn't know until much later on exactly what a limit was. Same with integrals. I feel like if I can't paint a picture of what I'm doing I don't really understand it.

Thanks for your input.

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# Relationship between Derivatives and Integrals

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