1 Trigonometric Substitutions (Sec 7.3)
1.1 Sine Back-substitution
Sec 7.3 Q4, 15
1.2 Sine Back-substitution with Completing Squares
Sec 7.3 Q23, 26
1.3 Tangent Back-substitution
Sec 7.3 Q10, 14
1.4 Tangent Back-substitution with Completing Squares
Sec 7.3 Q27, 28
1.5 Mixed with other steps of integration
Sec 7.4 Q29, 30, Problem Plus Ch.7 Q15
2 Partial Fractions and Integration of Rational Functions (Sec 7.4)
2.1 Determining the Factors
Sec 7.4 Q3
2.2 Integrals of Rational Functions
Sec 7.4 Q13, 29, 30, 31
2.3 Rationalizing Substitutions
Problem Plus Ch.7 Q14
2.4 Word Problem
Sec 7.4 Q67