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 1452 Calculus II Spring 2015 Riddle Calculus Smith, Strauss, Toda

Review Exam II

 Section Content Suggested Problems Section 6.5 Work      Extension/Compression of Springs      Lifting against Gravity      Pumpling Fluids Fluid pressure and force Centroids and Moments in the Plane      Theorem of Pappus 9, 10, 11, 15, 19, 22, 27, 29, 37a, 41 Section 7.1 M0: basic anti-differentiation formulas M1: method of substitution 3, 5, 9, 12 Section 7.2 M2: integration by parts repeated integration by parts integration by parts and definite integrals 1, 2, 3, 6, 12, 17 Section 7.3 M3-1: 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 M3-2: 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 M4: trigonometric substituion completing the square for quadratic integrands 5, 7, 10, 12, 17, 18, 20, 25, 33, 36, 38, 41, 47, 48 Section 7.4 M5: partial fraction decomposition      proper rational functions      "completely" factored denominators      Case 1. linear factors      Case 4. quadratic irreducible factors integrating rational functions rational trigonometric functions of sine and cosine 3, 4, 6, 8, 15, 17, 20, 24, 25, 33, 34, 39 Section 7.5 summary of integration techniques strategies for selecting a technique 1, 5, 11, 17, 21, 23, 27, 29, 35, 44, 46

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Last modified on: Monday, 10-Aug-2015 12:49:21 CDT