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Unformatted text preview: MIT OpenCourseWare http://ocw.mit.edu 18.01 Single Variable Calculus Fall 2006 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms . Exam 3 Review 18.01 Fall 2006 Lecture 25: Exam 3 Review Integration 1. Evaluate definite integrals. Substitution, first fundamental theorem of calculus (FTC 1), (and hints?) 2. FTC 2: d x f ( t ) dt = f ( t ) dx a x If F ( x ) = f ( t ) dt , find the graph of F , estimate F , and change variables. a 3. Riemann sums; trapezoidal and Simpson’s rules. 4. Areas, volumes. 5. Other cumulative sums: average value, probability, work, etc. There are two types of volume problems: 1. solids of revolution 2. other (do by slices) In these problems, there will be something you can draw in 2D, to be able to see what’s going on in that one plane. In solid of revolution problems, the solid is formed by revolution around the x-axis or the y-axis....
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This note was uploaded on 01/18/2012 for the course MATH 18.01 taught by Professor Brubaker during the Fall '08 term at MIT.

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lec25 - MIT OpenCourseWare http/ocw.mit.edu 18.01 Single...

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