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: CONCEPT CHECK LHopitals Rule Explain the benefit LHospitals Rule. Problem 2E Problem 3E Problem 4E Problem 5E Problem 6E Problem 7E: Using Two Methods In Exercises 7-14, evaluate the limit (a) using techniques from Chapters 2 and 4... Problem 8E: Using Two Methods In Exercises 7-14, evaluate the limit (a) using techniques from Chapters 2 and 4... Problem 9E: Using Two Methods In Exercises 7-14, evaluate the limit (a) using techniques from Chapters 2 and 4... Problem 10E: Using Two Methods In Exercises 7- 14, evaluate the limit (a) using techniques from Chapters 2 and 4... Problem 11E: Using Two Methods In Exercises 7- 14, evaluate the limit (a) using techniques from Chapters 2 and 4... Problem 12E: Using Two Methods In Exercises 7- 14, evaluate the limit (a) using techniques from Chapters 2 and 4... Problem 13E: Using Two Methods In Exercises 7- 14, evaluate the limit (a) using techniques from Chapters 2 and 4... Problem 14E: Using Two Methods In Exercises 7- 14, evaluate the limit (a) using techniques from Chapters 2 and 4... Problem 15E: Evaluating a Limit In Exercises 15-42, evaluate the limit, using L'Hopital's Rule if necessary.... Problem 16E: Evaluating a Limit In Exercises 15-42, evaluate the limit, using L'Hopital's Rule if necessary.... Problem 17E: Evaluating a Limit In Exercises 15-42, evaluate the limit, using LH�pitals Rule if necessary.... Problem 18E Problem 19E Problem 20E Problem 21E Problem 22E: Evaluating a Limit In Exercises 15-42, evaluate the limit, using L 'Hospitals Rule if necessary.... Problem 23E Problem 24E Problem 25E Problem 26E Problem 27E Problem 28E: Evaluating a Limit In Exercises 15-42, evaluate the limit, using L 'Hospitals Rule if necessary.... Problem 29E Problem 30E Problem 31E Problem 32E Problem 33E: Evaluating a Limit In Exercises 15-42, evaluate the limit, using L 'Hospitals Rule if necessary.... Problem 34E Problem 35E: Evaluating a Limit In Exercises 15-42, evaluate the limit, using L 'Hospitals Rule if necessary.... Problem 36E Problem 37E: Evaluating a Limit In Exercises 15-42, evaluate the limit, using L 'Hospitals Rule if necessary.... Problem 38E Problem 39E: Evaluating a Limit In Exercises 15-42, evaluate the limit, using L 'Hospitals Rule if necessary.... Problem 40E Problem 41E: Evaluating a Limit In Exercises 15-42, evaluate the limit, using LH�pitals Rule if necessary.... Problem 42E Problem 43E Problem 44E Problem 45E Problem 46E Problem 47E Problem 48E Problem 49E Problem 50E Problem 51E Problem 52E: Evaluating a Limit In Exercises 43-62, (a) describe the type of indeterminate form (if any) that is... Problem 53E Problem 54E Problem 55E Problem 56E Problem 57E Problem 58E Problem 59E Problem 60E Problem 61E Problem 62E Problem 63E Problem 64E: EXPLORING CONCEPTS Finding Functions Find differentiable functions f and g such that... 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: Think About It In Exercises 79-82, L' Hospitals Rule is used incorrectly. Describe the error.... Problem 80E Problem 81E Problem 82E Problem 83E Problem 84E Problem 85E Problem 86E Problem 87E Problem 88E Problem 89E Problem 90E Problem 91E Problem 92E Problem 93E Problem 94E Problem 95E Problem 96E Problem 97E Problem 98E Problem 99E: True or False? In Exercises 95-100, determine whether the statement is true or false. If it is... Problem 100E Problem 101E: Area Find the limit, as x approaches 0, of the ratio of the area of the triangle to the total shaded... Problem 102E: Finding a Limit In Section 2.3, a geometric argument (see figure) was used to prove that lim0sin=1.... Problem 103E Problem 104E: Continuous Function In Exercises 103 and 104, find the value of c that makes the function continuous... Problem 105E Problem 106E: Evaluating a Limit Use a graphing utility to graph f(x)=xk1k for k=1,0.1, and 0.01. Then evaluate... Problem 107E Problem 108E Problem 109E: Evaluating a Limit Consider the limit limx0+(xlnx) (a) Describe the type of indeterminate form that... Problem 110E Problem 111E Problem 112E Problem 113E Problem 114E Problem 115E Problem 116E Problem 117E format_list_bulleted