- Basic integration rules and rewriting the integrand before integrating: Section 4.10 (vol 1 of textbook)
- Integration by substitution: Section 5.5 (vol 1 of textbook)
- Definite Integrals and the Fundamental Theorem of Calculus: Section 5.3-5.7 (vol 1 of textbook)
Topics covered in Skills Test 2 for MTH 169:
- Integration by Parts: Section 3.1
- Integrating trigonometric functions: Section 3.2
- Trig Substitution: Section 3.3
- Partial Fractions: Section 3.4
- Improper Integrals: Section 3.7
- Choosing the correct integration technique: Section 3.1-3.4
Topics covered in Skills Test 3 for MTH 169:
- Convergence of sequences: Section 5.1
- nth term Test (also called the Divergence Test): Section 5.3
- Integral Test: Section 5.3
- Comparison Test & Limit Comparison Test: Section 5.4
- Alternating Series Test: Section 5.5
- Ratio Test and Root Test: Section 5.6
- Determining the appropriate convergence test to use: Section 5.3-5.6
- Interval of Convergence and Radius of Convergence: Section 6.1
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