General antiderivative

Lecture present the particular antiderivatives and introduction to the area of a plane region. The main contents of this chapter include all of the following: Particular antiderivatives, application to rectilinear motion, introduction to the area of a plane region.

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This can be stated symbolically as F′ = f. The process of solving for antiderivatives is called antidifferentiation (or indefinite integration) and its opposite operation is called differentiation, which is the process of finding a derivative.

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In this lection we will formally define the definite integral and give many of the properties of definite integrals. The main contents of this chapter include all of the following: The definite integra, the second fundamental theorem of calculus.

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