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
8.1 Basic Integration Rules 8.2 Integration By Parts 8.3 Trigonometric Integrals 8.4 Trigonometric Substitution 8.5 Partial Fractions 8.6 Integration By Tables And Other Integration Techniques 8.7 Indeterminate Forms And L’hopital’s Rule 8.8 Improper Integrals Chapter Questions expand_more
Problem 1E: Determining Whether an Integral Is Improper In Exercises 512, decide whether the integral is... Problem 2E Problem 3E Problem 4E: Determining Whether an Integral Is Improper In Exercises 512, decide whether the integral is... Problem 5E Problem 6E Problem 7E: Determining Whether an Integral Is Improper In Exercises 512, decide whether the integral is... Problem 8E Problem 9E Problem 10E: Evaluating an Improper Integral In Exercises 13-16, explain why the integral is improper and... Problem 11E: Evaluating an Improper Integral In Exercises 13-16, explain why the integral is improper and... Problem 12E Problem 13E Problem 14E Problem 15E: Writing In Exercises 1316, explain why the evaluation of the integral is incorrect. Use the... Problem 16E Problem 17E Problem 18E Problem 19E Problem 20E Problem 21E Problem 22E Problem 23E: Evaluating an Improper Integral In Exercises 1732, determine whether the improper integral diverges... Problem 24E Problem 25E: Evaluating an Improper Integral In Exercises 1732, determine whether the improper integral diverges... Problem 26E: Evaluating an Improper Integral In Exercises 1732, determine whether the improper integral diverges... Problem 27E Problem 28E Problem 29E Problem 30E Problem 31E Problem 32E Problem 33E Problem 34E Problem 35E Problem 36E: Evaluating an Improper Integral In Exercises 3348, determine whether the improper integral diverges... Problem 37E: Evaluating an Improper Integral In Exercises 3348, determine whether the improper integral diverges... Problem 38E: Evaluating an Improper Integral In Exercises 3348, determine whether the improper integral diverges... Problem 39E: Evaluating an Improper Integral In Exercises 3348, determine whether the improper integral diverges... Problem 40E Problem 41E Problem 42E Problem 43E: Evaluating an Improper Integral In Exercises 3348, determine whether the improper integral diverges... Problem 44E: Evaluating an Improper Integral In Exercises 3348, determine whether the improper integral diverges... Problem 45E: Evaluating an Improper Integral In Exercises 3348, determine whether the improper integral diverges... Problem 46E Problem 47E: Evaluating an Improper Integral In Exercises 3348, determine whether the improper integral diverges... Problem 48E Problem 49E: Finding Values In Exercises 49 and 50, determine all values of p for which the improper integral... Problem 50E Problem 51E Problem 52E Problem 53E Problem 54E: Convergence or Divergence In Exercises 5360, use the results of Exercises 4952 to determine whether... Problem 55E Problem 56E: Convergence or Divergence In Exercises 5360, use the results of Exercises 4952 to determine whether... Problem 57E Problem 58E Problem 59E Problem 60E: Convergence or Divergence In Exercises 53–62, use the results of Exercises 49–52 to determine... Problem 61E: Convergence or Divergence In Exercises 5360, use the results of Exercises 4952 to determine whether... Problem 62E Problem 63E Problem 64E Problem 65E Problem 66E Problem 67E: Area In Exercises 6770, find the area of the unbounded shaded region. y=ex,x1 Problem 68E Problem 69E: Area In Exercises 63-66, find the area of the unbounded shaded region. Witch of Agnesi: Problem 70E: Area In Exercises 63-66, find the area of the unbounded shaded region. Witch of Agensi: y=8x2+4 Problem 71E: Area and Volume In Exercises 67 and 68, consider the region satisfying the inequalities (a) Find the... Problem 72E Problem 73E: Arc Length Sketch the graph of the hypocycloid of four cusps x2/3 + y2/3 = 4 and find its perimeter. Problem 74E Problem 75E Problem 76E Problem 77E Problem 78E: Propulsion In Exercises 77 and 78, use the weight of the rocket to answer each question. (Use 4000... Problem 79E Problem 80E Problem 81E: Capitalized Cost In Exercises 81 and 82, find the capitalized cost C of an asset (a) for n = 5... Problem 82E: Capitalized Cost In Exercises 81 and 82, find the capitalized cost C of an asset (a) for n = 5... Problem 83E Problem 84E Problem 85E Problem 86E Problem 87E Problem 88E Problem 89E Problem 90E: Making an Integral Improper For each integral, find a nonnegative real number b that makes the... Problem 91E Problem 92E Problem 93E Problem 94E Problem 95E Problem 96E Problem 97E Problem 98E Problem 99E Problem 100E Problem 101E Problem 102E Problem 103E Problem 104E Problem 105E Problem 106E Problem 107E Problem 108E Problem 109E: u -Substitution In Exercises 105 and 106, rewrite the improper integral as a proper integral using... Problem 110E Problem 111E format_list_bulleted