5.1 Calculus and Area - (Goals) 5.2 Definite Integrals- (Goals) 5.3 Definite Integrals and Antiderivatives- (Goals) 5.4 The Fundamental Theorem of Calculus- (Goals) 5.5 Indefinite Integrals- (Goals) 5.6 Integration by Substitution - Running the Chain Rule Backward- (Goals) 5.7 Numerical Integration - The Trapezoidal Rule and Simpson's Method
Chapter 6 - Applications of Definite Integrals
6.1 Areas Between Curves - (Goals) 6.2 Volumes of Solids of Revolution-Disks and Washers- (Goals) 6.3 Cylindrical Shells - An Alternative to Washers- (Goals) 6.4 Lengths of Curves in the Plane- (Goals) 6.9 The Basic Idea: Other Modeling Applications- (Goals)
Chapter 7 - The Calculus of Transcendental Functions
7.1 The Natural Logarithm Function - (Goals) 7.2 The Exponential Function- (Goals) 7.3 Other Exponential and Logarithmic Functions- (Goals) 7.4 The Law of Exponential Change Revisited- (Goals) 7.6 The Rates at Which Functions Grow- (Goals) 7.7 The Inverse Trigonometric Functions- (Goals)