7.1 Inverse functions 7.2* The natural logarithmic function 7.3* The natural exponential function 7.4* General logarithmic and exponential functions 7.5 Inverse trigonometric functions7.7 Indeterminate forms and L'Hospital's rule
8.1 Integration by parts 8.2 Trigonometric integrals 8.3 Trigonometric substitution 8.4 Integration of rational functions by partial fractions 8.5 Strategy for integration
8.7 Approximate integration 8.8 Improper integrals
9.1 Arc length 9.2 Area of a surface of revolution 9.3 Applications to physics and engineering
10.1 Modeling with differential equations
10.3 Separable equations 10.4 Exponential growth and decay
10.6 Linear equations
11.1 Curves defined by parametric equations 11.2 Tangents and areas 11.3 Arc length and surface area 11.4 Polar coordinates 11.5 Areas and lengths in polar coordinates 11.6 Conic sections 11.7 Conic sections in polar coordinates
12.1 Sequences 12.2 Series 12.3 The integral test and estimates of sums 12.4 The comparison tests 12.5 Alternating series 12.6 Absolute convergence and the ratio and root tests 12.7 Strategy for testing series 12.8 Power series 12.9 Representations of functions as power series 12.10 Taylor and Maclaurin series 12.11 The binomial series 12.12 Applications of Taylor polynomials