MATSEC AM Pure Mathematics Complete Prep Course — Lesson 73: Integration as the inverse of differentiation and as a limit of a sum

Sarah Mitchell defines integration two ways and connects them. An indefinite integral is any function whose derivative is the integrand, so it carries an arbitrary constant and represents a family of vertically shifted curves. The definite integral is the limit of a sum of thin rectangles of width delta x, evaluated by the fundamental theorem as F at the upper limit minus F at the lower limit, and it measures signed area.

Lesson 73 of 158 in the MATSEC AM Pure Mathematics Complete Prep Course audio course from ExamPrepRise.

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