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Supplementary Problem Set 2 - x 3 1 x 3-x 2 dx(v Z x 3 x 1...

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Department of Mathematics, University of Toronto Problem Set Supplement #2 MAT 137Y, 2009-10 Winter Session Not to be handed in. Assignment Posted/Revised: March 1, 2010, 13:00 Suggested Problems. Do not hand in. 1. SHE 8.2: All odd numbered exercises 1-33, 37-49, 49, 59, 61. 2. SHE 8.3: All odd numbered exercises 1-43, 45, 49, 51. 3. SHE 8.4: All odd numbered exercises 1-33. 4. SHE 8.5: All odd numbered exercises 1-37. 5. Hodge-podge. Evaluate the following integrals, using the techniques of integration you have learned in this chapter. (i) Z e 2 x 1 + e 4 x dx . (ii) Z π / 4 0 tan 5 θ sec 3 θ d θ . (iii) Z 1 + ln x x ln x dx .
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Unformatted text preview: x 3 + 1 x 3-x 2 dx . (v) Z x 3 ( x + 1 ) 10 dx . (vi) Z dx ( x-2 )( x 2 + 4 ) . (vii) Z sin x cos x sin 4 x + cos 4 x dx . (viii) Z p 3-2 x-x 2 dx . (ix) Z arcsin ± 2 x 1 + x 2 ² dx . The purpose of this assignment is to learn the techniques of integration, not to memorize the table of integrals. The actual techniques are presented throughout Chapter 8. Note: This is the last problem set prior to Term Test 3. Thus the focus on the next test covers all material from Problem Sets 7 to 9 inclusive, and this supplemental problem set....
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