Texas Tech University |
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 |
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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