ECO 3145 Lecture 7: Lecture 7.pdf
15 Jun 2014
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Applications: definite integral, area under a curve. Diagram examples from economics: tr of a monopolist, cs of a consumer: summation interpretation examples from economics: total = sum of marginals. Diagram: area approximated by sum of rectangles. , where the finer the definition of the rectangles, the better the approximation limiting case: exact measure of the area. Notation: interpretation: integral sign a stylised s , etc. Calculation antiderivative: a function f such that family of all antiderivatives of a function: , where c is a constant called the indefinite integral. Denoted i. e. - fundamental theorem of calculus: Rules of integration: finding anti-derivatives: constants, power rule, exponential functions, sum-difference rule, substitution rule, integration by parts, improper integrals, homework: Do as many (or as few) of the following problems as are necessary to make yourself comfortable with all aspects of integrals. This is review material, and i will not be examining it directly.
