1 Preparation For Calculus 2 Limits And Their Properties 3 Differentiation 4 Applications Of Differentiation 5 Integration 6 Differential Equations 7 Applications Of Integration 8 Integration Techniques And Improper Integrals 9 Infinite Series 10 Conics, Parametric Equations, And Polar Coordinates 11 Vectors And The Geometry Of Space 12 Vector-valued Functions 13 Functions Of Several Variables 14 Multiple Integration 15 Vector Analysis expand_more
5.1 Antiderivatives And Indefinite Integration 5.2 Area 5.3 Riemann Sums And Definite Integrals 5.4 The Fundamental Theorem Of Calculus 5.5 Integration By Substitution 5.6 Indeterminate Forms And L'hôpital's Rule 5.7 The Natural Logarithmic Function: Integration 5.8 Inverse Trigonometric Functions: Integration 5.9 Hyperbolic Functions Chapter Questions expand_more
Problem 1E Problem 2E Problem 3E: Evaluating a Limit In Exercises 3 and 4, use Example 1 as a model to evaluate the limit... Problem 4E: Evaluating a Limit In Exercises 3 and 4, use Example 1 as a model to evaluate the limit... Problem 5E: Evaluating a Definite Integral as a Limit In Exercises 5-10, evaluate the definite integral by the... Problem 6E: Evaluating a Definite Integral as a Limit In Exercises 5-10, evaluate the definite integral by the... Problem 7E: Evaluating a Definite Integral as a Limit In Exercises 5-10, evaluate the definite integral by the... Problem 8E: Evaluating a Definite Integral as a Limit In Exercises 5-10, evaluate the definite integral by the... Problem 9E: Evaluating a Definite Integral as a Limit In Exercises 5-10, evaluate the definite integral by the... Problem 10E: Evaluating a Definite Integral as a Limit In Exercises 5-10, evaluate the definite integral by the... Problem 11E: Writing a Limit as a Definite Integral In Exercises 11-14, write the limit as a definite integral on... Problem 12E: Writing a Limit as a Definite Integral In Exercises 11-14, write the limit as a definite integral on... Problem 13E: Writing a Limit as a Definite Integral In Exercises 11-14, write the limit as a definite integral on... Problem 14E: Writing a Limit as a Definite Integral In Exercises 11-14, write the limit as a definite integral on... Problem 15E: Writing a Definite Integral In Exercises 15-26, write a definite integral that represents the area... Problem 16E: Writing a Definite Integral In Exercises 15-26, write a definite integral that represents the area... Problem 17E: Writing a Definite Integral In Exercises 15-26, write a definite integral that represents the area... Problem 18E: Writing a Definite Integral In Exercises 15-26, write a definite integral that represents the area... Problem 19E: Writing a Definite Integral In Exercises 15-26, write a definite integral that represents the area... Problem 20E: Writing a Definite Integral In Exercises 15-26, write a definite integral that represents the area... Problem 21E: Writing a Definite Integral In Exercises 15-26, write a definite integral that represents the area... Problem 22E: Writing a Definite Integral In Exercises 15-26, write a definite integral that represents the area... Problem 23E: Writing a Definite Integral In Exercises 15-26, write a definite integral that represents the area... Problem 24E: Writing a Definite Integral In Exercises 15-26, write a definite integral that represents the area... Problem 25E: Writing a Definite Integral In Exercises 15-26, write a definite integral that represents the area... Problem 26E: Writing a Definite Integral In Exercises 15-26, write a definite integral that represents the area... Problem 27E: Evaluating a Definite Integral Using a Geometric Formula In Exercises 27-36, sketch the region whose... Problem 28E: Evaluating a Definite Integral Using a Geometric Formula In Exercises 27-36, sketch the region whose... Problem 29E: Evaluating a Definite Integral Using a Geometric Formula In Exercises 27-36, sketch the region whose... Problem 30E: Evaluating a Definite Integral Using a Geometric Formula In Exercises 27-36, sketch the region whose... Problem 31E: Evaluating a Definite Integral Using a Geometric Formula In Exercises 27-36, sketch the region whose... Problem 32E Problem 33E: Evaluating a Definite Integral Using a Geometric Formula In Exercises 27-36, sketch the region whose... Problem 34E Problem 35E: Evaluating a Definite Integral Using a Geometric Formula In Exercises 27-36, sketch the region whose... Problem 36E Problem 37E Problem 38E: Using Properties of Definite Integrals In Exercises 37-44, evaluate the definite integral using the... Problem 39E Problem 40E: Using Properties of Definite Integrals In Exercises 37-44, evaluate the definite integral using the... Problem 41E Problem 42E Problem 43E: Using Properties of Definite Integrals In Exercises 37-44, evaluate the definite integral using the... Problem 44E Problem 45E Problem 46E Problem 47E Problem 48E: Using Properties of Definite Integrals Given 11f(x)dx=0 and 01f(x)dx=5, evaluate (a) 10f(x)dx. (b)... Problem 49E: Estimating a Definite Integral Use the table of values to find lower and upper estimates of... Problem 50E Problem 51E: Think About It The graph of f consists of line segments and a semicircle, as shown in the figure.... Problem 52E: Think About It The graph of f consists of line segments, as shown in the figure. Evaluate each... Problem 53E: Think About It Consider a function f that is continuous on the interval [-5, 5] and for which... Problem 54E Problem 55E Problem 56E: Think About It A function f is defined below. Use geometric formulas to find f012f(x)dx.... Problem 57E Problem 58E Problem 59E Problem 60E Problem 61E Problem 62E Problem 63E Problem 64E Problem 65E Problem 66E Problem 67E Problem 68E Problem 69E Problem 70E Problem 71E Problem 72E Problem 73E Problem 74E Problem 75E Problem 76E Problem 77E Problem 78E Problem 79E Problem 80E Problem 81E Problem 82E Problem 83E Problem 84E Problem 85E format_list_bulleted