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, L’hopital’s Rule, 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 4.6 Numerical Integration Chapter Questions expand_more
Problem 1E: Integration and Differentiation In Exercises 5 and 6, verify the statement by showing that the... Problem 2E: Integration and Differentiation In Exercises 5 and 6, verify the statement by showing that the... Problem 3E: Solving a Differential Equation In Exercises 7-10, find the general solution of the differential... Problem 4E Problem 5E Problem 6E: Solving a Differential Equation In Exercises 7-10, find the general solution of the differential... Problem 7E Problem 8E: Rewriting Before Integrating In Exercises 11-14, complete the table to find the indefinite integral.... Problem 9E: Rewriting Before Integrating In Exercises 11-14, complete the table to Find the indefinite integral.... Problem 10E Problem 11E Problem 12E: Finding an Indefinite Integral In Exercises 15-36, find the indefinite integral and check the result... Problem 13E: Finding an Indefinite Integral In Exercises 15-36, find the indefinite integral and check the result... Problem 14E Problem 15E Problem 16E Problem 17E Problem 18E Problem 19E Problem 20E Problem 21E Problem 22E: Finding an Indefinite Integral In Exercises 15-36, find the indefinite integral and check the result... Problem 23E: Finding an Indefinite Integral In Exercises 15-36, find the indefinite integral and check the result... Problem 24E Problem 25E: Finding an Indefinite Integral In Exercises 15-36, find the indefinite integral and check the result... Problem 26E Problem 27E: Finding an Indefinite Integral In Exercises 1132, find the indefinite integral and check the result... Problem 28E Problem 29E Problem 30E Problem 31E: Finding an Indefinite Integral In Exercises 15-36, find the indefinite integral and check the result... Problem 32E Problem 33E: EXPLORING CONCEPTS Sketching a Graph In Exercises 49 and 50, the graph of the derivative of a... Problem 34E: Sketching a Graph In Exercises 49 and 50, the graph of the derivative of a function is given. Sketch... Problem 35E: Finding a Particular Solution In Exercises 37-44, find the particular solution of the differential... Problem 36E: Finding a Particular Solution In Exercises 37-44, find the particular solution of the differential... Problem 37E: Finding a Particular Solution In Exercises 35-42, find the particular solution that satisfies the... Problem 38E Problem 39E Problem 40E: Finding a Particular Solution In Exercises 37-44, find the particular solution of the differential... Problem 41E Problem 42E Problem 43E: Slope Field In Exercises 45 and 46, a differential equation, a point, and a slope field are given. A... Problem 44E Problem 45E Problem 46E Problem 47E Problem 48E Problem 49E Problem 50E: HOW DO YOU SEE IT? Use the graph of f shown in the figure to answer the following. (a) Approximate... Problem 51E: Tree Growth An evergreen nursery usually sells a certain type of shrub after 6 years of growth and... Problem 52E: Population Growth The rate of growth dP/dt of a population of bacteria is proportional to the square... Problem 53E: Vertical Motion In Exercises 57-59, assume the acceleration of the object is a(t)=32 feet per second... Problem 54E: Vertical Motion In Exercises 57-59, assume the acceleration of the object is a(t)=32 feet per second... Problem 55E Problem 56E: Vertical Motion In Exercises 60-62, assume the acceleration of the object is a(t)=9.8 meters per... Problem 57E Problem 58E Problem 59E: Lunar Gravity On the moon, the acceleration of a free-falling object is a(t)=1.6 meters per second... Problem 60E Problem 61E Problem 62E Problem 63E Problem 64E Problem 65E: Acceleration The maker of an automobile advertises that it takes 13 seconds to accelerate from 25... Problem 66E: Deceleration A car traveling at 45 miles per hour is brought to a stop, at constant deceleration,... Problem 67E Problem 68E Problem 69E: True or False? In Exercises 73 and 74, determine whether the statement is true or false. If it is... Problem 70E Problem 71E: True or False? In Exercises 73-78, determine whether the statement is true or false. If it is false,... Problem 72E Problem 73E Problem 74E Problem 75E: Horizontal Tangent Find a function f such that the graph of f has a horizontal tangent at (2, 0) and... Problem 76E: Finding a Function The graph of f' is shown. Find and sketch the graph of f given that f is... Problem 77E Problem 78E format_list_bulleted