Calculus and Analytic Geometry
Calculus and Analytic Geometry MATH 222
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This 1 page Class Notes was uploaded by Zechariah Hilpert on Thursday September 17, 2015. The Class Notes belongs to MATH 222 at University of Wisconsin - Madison taught by Qian You in Fall. Since its upload, it has received 13 views. For similar materials see /class/205272/math-222-university-of-wisconsin-madison in Mathematics (M) at University of Wisconsin - Madison.
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Date Created: 09/17/15
Worksheet 1 Math 222 7 Lecture 1 7 Section 315 WES Wednesday7 Sept 37 2008 With your group 1 come up with a clear concise explanation of the difference between de nite and inde nite integrals What is an inde nite integral What is an inde nite integral Use an example to illustrate the difference Make sure every one agrees7 and that everyone writes down something for themselves 2 make a list of your Favorite trig formulas What needs to stay7 and what s just clutter Now7 verify the following crazy trig identities cos x 1 1 sin z a 7 7 1 7 sin z cos x 1 7 tan2 z b 2 1tan2z COSlt m c 17 Sm sinz2 7 cosm22 d cotz7coty s1n y s1n x 3 gure out a good way to explain the concept of substitution to someone taking Calculus l for the rst time How can you appeal to intuition What examples would you show them Keeping your explanation in mind7 carefully calculate each of the following integrals What sub stitutions could be made Get in the habit of writing C77 Keep track of what you tried and what didn t work Explain your work 7 what7 when7 why 7 like you re teaching someone else to do the integration a dm M17 b cos2z2 7 sin2m2 55mm 2 sec ln cotz secz c U de Sln 4 make a list of all the integration techniques you know so far we ll be learning more this semesterl For each one7 is there a corresponding rule for derivatives Also7 for each7 give two examples of integrals you would use that technique to solve7one simple and one a little trickier Solve your examples and check your integration how
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