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 Log Rule for Integration Can you use the Log Rule to find the integral below? Explain.... Problem 2E: CONCEPT CHECK Long Division Explain when to use long division before applying the Log Rule. Problem 3E Problem 4E Problem 5E: Finding an Indefinite Integral In Exercises 5-28, find the indefinite integral. 5xdx Problem 6E Problem 7E Problem 8E: Finding an Indefinite Integral In Exercises 5-28, find the indefinite integral. 954xdx Problem 9E: Finding an Indefinite Integral In Exercises 5-28, find the indefinite integral. xx23dx Problem 10E: Finding an Indefinite Integral In Exercises 5-28, find the indefinite integral. x25x3dx Problem 11E: Finding an Indefinite Integral In Exercises 5-28, find the indefinite integral. 4x3+3x4+3xdx Problem 12E: Finding an Indefinite Integral In Exercises 5-28, find the indefinite integral. x22xx33x2dx Problem 13E: Finding an Indefinite Integral In Exercises 5-28, find the indefinite integral. x277xdx Problem 14E: Finding an Indefinite Integral In Exercises 5-28, find the indefinite integral. x38xx2dx Problem 15E Problem 16E: Finding an Indefinite Integral In Exercises 5-28, find the indefinite integral. x2+4xx3+6x2+5dx Problem 17E: Finding an Indefinite Integral In Exercises 5-28, find the indefinite integral. x23x+2x+1dx Problem 18E: Finding an Indefinite Integral In Exercises 5-28, find the indefinite integral. 2x2+7x3x2dx Problem 19E: Finding an Indefinite Integral In Exercises 5-28, find the indefinite integral. x33x2+5x3dx Problem 20E: Finding an Indefinite Integral In Exercises 5-28, find the indefinite integral. x36x20x+5dx Problem 21E: Finding an Indefinite Integral In Exercises 5-28, find the indefinite integral. x4+x4x2+2dx Problem 22E: Finding an Indefinite Integral In Exercises 5-28, find the indefinite integral. x34x24x+20x25dx Problem 23E: Finding an Indefinite Integral In Exercises 5-28, find the indefinite integral. (lnx)2xdx Problem 24E: Finding an Indefinite Integral In Exercises 5-28, find the indefinite integral. dxx(lnx2)3 Problem 25E: Finding an Indefinite Integral In Exercises 5-28, find the indefinite integral. 1x(13x)dx Problem 26E: Finding an Indefinite Integral In Exercises 5-28, find the indefinite integral. 1x2/3(1+x1/3)dx Problem 27E Problem 28E Problem 29E Problem 30E Problem 31E: Change of Variables In Exercises 29-32, find the indefinite integral by making a change of... Problem 32E Problem 33E Problem 34E Problem 35E Problem 36E Problem 37E Problem 38E: Finding an Indefinite Integral of a Trigonometric Function In Exercises 33-42, find the indefinite... Problem 39E Problem 40E: Finding an Indefinite Integral of a Trigonometric Function In Exercises 33-42, find the indefinite... Problem 41E Problem 42E Problem 43E: Differential Equation In Exercises 43-46, find the general solution of the differential equation.... Problem 44E: Differential Equation In Exercises 43-46, find the general solution of the differential equation.... Problem 45E Problem 46E Problem 47E Problem 48E: Finding a Particular Solution In Exercises 47 and 48, find the particular solution of the... Problem 49E Problem 50E Problem 51E Problem 52E Problem 53E: Evaluating a Definite Integral In Exercises 51-58, evaluate the definite integral. Use a graphing... Problem 54E: Evaluating a Definite Integral In Exercises 51-58, evaluate the definite integral. Use a graphing... Problem 55E: Evaluating a Definite Integral In Exercises 51-58, evaluate the definite integral. Use a graphing... Problem 56E 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: Napier's Inequality For 0xy, use the Mean Value Theorem to show that 1ylnylnxyx1x Problem 82E Problem 83E Problem 84E Problem 85E Problem 86E Problem 87E Problem 88E Problem 89E Problem 90E Problem 91E Problem 92E: Sales The rate of change in sales S is inversely proportional to time t (t 1), measured in weeks.... Problem 93E Problem 94E Problem 95E Problem 96E Problem 97E Problem 98E Problem 99E Problem 100E Problem 101E Problem 102E format_list_bulleted