P Preparation For Calculus 1 Limits And Their Properties 2 Differentiation 3 Applications Of Differentiation 4 Integration 5 Logarithmic, Exponential, And Other Transcendental Functions 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
4.1 Antiderivatives And Indefinite Integration 4.2 Area 4.3 Riemann Sums And Definite Integrals 4.4 The Fundamental Theorem Of Calculus 4.5 Integration By Substitution Chapter Questions expand_more
Problem 1E: CONCEPT CHECK Antiderivative What does it mean for a function F to be an antiderivative of a... Problem 2E: Antiderivatives Can two different functions both be antiderivatives of the same function? Explain. Problem 3E: Particular Solution What is a particular solution of a differential equation? Problem 4E Problem 5E: Integration and Differentiation In Exercises 5 and 6, verify the statement by showing that the... Problem 6E: Integration and Differentiation In Exercises 5 and 6, verify the statement by showing that the... Problem 7E: Solving a Differential Equation In Exercises 7-10, find the general solution of the differential... Problem 8E Problem 9E Problem 10E: Solving a Differential Equation In Exercises 7-10, find the general solution of the differential... Problem 11E Problem 12E: Rewriting Before Integrating In Exercises 11-14, complete the table to find the indefinite integral.... Problem 13E: Rewriting Before Integrating In Exercises 11-14, complete the table to Find the indefinite integral.... Problem 14E Problem 15E Problem 17E: Finding an Indefinite Integral In Exercises 15-36, find the indefinite integral and check the result... Problem 16E: Finding an Indefinite Integral In Exercises 15-36, find the indefinite integral and check the result... Problem 19E Problem 20E Problem 18E: Finding an Indefinite Integral In Exercises 15-36, find the indefinite integral and check the result... Problem 27E: Finding an Indefinite Integral In Exercises 15-36, find the indefinite integral and check the result... Problem 28E Problem 23E Problem 24E Problem 25E Problem 26E: Finding an Indefinite Integral In Exercises 15-36, find the indefinite integral and check the result... Problem 29E: Finding an Indefinite Integral In Exercises 15-36, find the indefinite integral and check the result... Problem 30E Problem 21E Problem 22E Problem 33E Problem 34E Problem 35E: Finding an Indefinite Integral In Exercises 15-36, find the indefinite integral and check the result... Problem 36E Problem 31E Problem 32E Problem 37E: Finding a Particular Solution In Exercises 37-44, find the particular solution of the differential... Problem 38E: Finding a Particular Solution In Exercises 37-44, find the particular solution of the differential... Problem 39E Problem 40E Problem 41E Problem 42E: Finding a Particular Solution In Exercises 37-44, find the particular solution of the differential... Problem 43E Problem 44E Problem 45E: Slope Field In Exercises 45 and 46, a differential equation, a point, and a slope field are given. A... Problem 46E Problem 47E Problem 48E Problem 49E: EXPLORING CONCEPTS Sketching a Graph In Exercises 49 and 50, the graph of the derivative of a... Problem 50E: Sketching a Graph In Exercises 49 and 50, the graph of the derivative of a function is given. Sketch... Problem 51E Problem 52E: HOW DO YOU SEE IT? Use the graph of f shown in the figure to answer the following. (a) Approximate... Problem 53E: Horizontal Tangent Find a function f such that the graph of f has a horizontal tangent at (2, 0) and... Problem 54E Problem 55E: Tree Growth An evergreen nursery usually sells a certain type of shrub after 6 years of growth and... Problem 56E: Population Growth The rate of growth dP/dt of a population of bacteria is proportional to the square... Problem 57E: Vertical Motion In Exercises 57-59, assume the acceleration of the object is a(t)=32 feet per second... Problem 58E: Vertical Motion In Exercises 57-59, assume the acceleration of the object is a(t)=32 feet per second... Problem 59E Problem 60E: Vertical Motion In Exercises 60-62, assume the acceleration of the object is a(t)=9.8 meters per... Problem 61E Problem 62E Problem 63E: Lunar Gravity On the moon, the acceleration of a free-falling object is a(t)=1.6 meters per second... Problem 64E Problem 65E Problem 66E Problem 67E Problem 68E Problem 69E: Acceleration The maker of an automobile advertises that it takes 13 seconds to accelerate from 25... Problem 70E: Deceleration A car traveling at 45 miles per hour is brought to a stop, at constant deceleration,... Problem 71E Problem 72E Problem 73E: True or False? In Exercises 73 and 74, determine whether the statement is true or false. If it is... Problem 74E Problem 79E Problem 80E Problem 75E: True or False? In Exercises 73-78, determine whether the statement is true or false. If it is false,... Problem 76E Problem 77E Problem 81E Problem 78E format_list_bulleted