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# Calculus wAnalytical Geo 2 MATH 1132

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This 2 page Class Notes was uploaded by Webster Green Sr. on Sunday October 11, 2015. The Class Notes belongs to MATH 1132 at Columbus State University taught by Staff in Fall. Since its upload, it has received 17 views. For similar materials see /class/221195/math-1132-columbus-state-university in Mathematics (M) at Columbus State University.

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Date Created: 10/11/15

Math 1132 Day 1 Review Dr Howard Something Fun Derivative paradox derivative of x2 x x x Ax x times De nite Integral Velocity and estimated distance 7 linear motion positive velocity only Timetsec 0 2 i 5 i 7 11 Velocity ftsec 9 i 13 i 21 i 23 i 24 See Power Point slides Velocity and estimated distance 7 linear motion positive and negative velocity Timetsec 0 2 4 5 i 6 7 8 9 10 11 Velocityftsec 46 23 125 723 705 18 19 24 29 31i Fundamental Theorem of Calculus 7 example I 2x2 7x 5dx Viewed as a Riemann sum discuss rst for nonneg function Example I ef dx m 0746 82 discuss calculator use Net area interpretation Example I 2x2 7x 5dx 7 2nd fundamental theorem wexample Inde nite integral anti derivative Review a few examples 32 at bdt Isinxdx Icos 2x dx Isecx tanxdx Going from derivative formula to integral formula Example Earctanx arctanx C so 1 x2 I 1 x2 Going from integral formula in x to usubstitutions Example Evaluate using the substitution u x 3 complete the square x x Math 1132 Day 1 Review Dr Howard Day 1 Homework Problems 1 Evaluate the following integrals a 3x2 5dx b x3 5x2 lldx c Icscxcotxdx d Isin4xdx e 1 csc23xdx f I J3x 2 dx 4 7x h IE dx i Itanxdx show your work N Use a right sum with 5 subintervals to estimate the integral I sincos 3x dx M Find the exact value of the integral 11 x2 dx by first forming a right sum for n subintervals and then taking the limit as n gt 0 amp Evaluate the definite integral I gx dx given that the graph of y gx consists of straightline segments and a semicircle as indicated in the figure below 5 Find 0 ln2 sin3tdt

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