Mathematics & Statistics Texas Tech University Kent Pearce Department of Mathematics and Statistics Texas Tech University Lubbock, Texas 79409-1042 Voice: (806)742-2566 x 226 FAX: (806)742-1112 Email: kent.pearce@ttu.edu

 Math 1352 Calculus II Spring 2008 Strauss, Bradley, Smith Calculus 5th Prentice Hall

Review Exam II
 Section Content Suggested Problems Section 7.1 M1: basic anti-differentiation formulas M2: method of substitution M3: tables of integration      reference number of table entry      identification of choice of parameters 2, 6, 13, 18, 23, 27, 32, 39, 46, 47 Section 7.2 M4: integration by parts repeated integration by parts integration by parts and definite integrals 2, 6, 8, 9, 12, 17, 24, 28, 30, 32 Section 7.3 M5-1: powers of sine and cosine      fundamental trigonometric identities      Case 1. odd power of either sine or cosine      Case 2. all powers of sine and cosine are even      double angle formulas for cosine M5-2: powers of tangent and secant      Case 1. even power of secant      Case 2. odd power of tangent      Case 3. neither case i nor case ii      reduction formula for integrals of powers of secant M6: trigonometric substituion completing the square for quadratic integrands 5, 10, 12, 17, 18, 25, 26, 27, 33, 37, 42, 46, 48, 49 Section 7.4 M7: partial fraction decomposition      proper rational functions      "completely" factored denominators      Case 1. linear unrepeated factors      Case 2. linear repeated factors      Case 3. quadratic unrepeated factors      Case 4. quadratic repeated factors integrating rational functions rational trigonometric functions of sine and cosine 2, 6, 9, 12, 16, 17, 18, 20, 23, 27, 32, 33, 36 Section 7.5 summary of integration techniques strategies for selecting a technique 3, 7, 11, 15, 23, 27, 31, 35, 39, 45, 51, 55, 59, 63, 67, 71 Section 7.6 first order separable differential equations first order linear differential equations applications of first order differential equations 2, 4, 8, 12, 14, 23, 24, 34 Section 7.7 proper integrals      existence theorem      Fundamental Theorem of Calculus improper integrals with infinite limits of integration improper integrals with discontinuous integrands 4, 5, 7, 9, 12, 15, 20, 23, 28, 33, 34, 36, 42 Section 7.8 definitions of hyperbolic trigonometric functions properities of hyperbolic trigonometric functions derivatives and integrals of hyperbolic trigonometric functions inverse hyperbolic trigonometric functions derivatives and integrals of inverse hyperbolic trigonometric functions 14, 16, 18, 20, 24, 28, 30, 34, 37, 43

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