Calculus II/Test 2
Wright State University Lake Campus/20171/MTH2310 ... (log)
 See also Calculus II/Test 2
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Chap 6.1 Applications of integration: More about areas editChapter 6.1 Examples 1, 2, 3 (pp.4324) Also look at Examples 4 and 5 (only examples with the pencil icon are likely to appear on the test). Matlab exercise (not on test) editExplain (with sketches) you you find the area enclosed by the following curves:
Chapter 6.2 Applications of integration: Volumes editChapter 6.2: Examples 1, 2, 3, and 4 (page 438) 26 January 2017 Chapter 6.3 Applications of integration: Volumes by cylindrical shells editChapter 6.2: Examples 1  18:24, 13 February 2017 (UTC) (UTC) Chapter 6.4 Applications of integration: Arc length edit? Place this on test as extra credit? editWhy Wikipedia (though great) is not enough: w:Special:Permalink/744766508#Derivation documents an important derivation of w:Arc length that was added in 2006. First,it is not sufficiently complete for introductory students, and second, it was removed as can be seen in this 2017 version of the article: w:Special:Permalink/754122488
In the last step we replaced t by x. Now integrate WRT t or x. to get the desired result26 January 2017 Infinitesimal is an interesting article, but not useful for this course. floating illusion (not on test) edit
Chap 6.5 Applications of integration: Average value of a function editExamples 1 and 3 (For possible extra credit study the proof above p461) 10,13 February 2017 (UTC) Problems CERTAIN to be on Test II editOn Monday and Wednesday, I will will spend some time on questions that will certainly be on the testGuy vandegrift (discuss • contribs) Monday, 6 March 2017 (UTC) Area between curves EXAMPLE 2 Section 6.1 p.433. I like this question because it emphasizes that an integral is a Reimann Sum, here of rectangles. Using the washer method EXAMPLE 4 Section 6.2 p.442. Here, the integral is a Riemann sum of "little volumes", not "little rectangles". NOT IN BOOK BUT ON TEST: Use the known circumference of the unit circle to generate an expression for a definite integral from x=0 to x=1. Do not solve the integral, but someone needs to verify that it is correct:
