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, L’ho?pital’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 Bytables And Other Integration Techniques 8.7 Indeterminate Forms And L’Ho?pital’s Rule 8.8 Improper Integrals Chapter Questions expand_more
Problem 1E: Trigonometric Substitution In Exercises 14, state the trigonometric substitution you would use to... Problem 2E Problem 3E Problem 4E Problem 5E: Using trigonometric Substitution In Exercises 3-6, find the indefinite integral using the... Problem 6E: Using trigonometric Substitution In Exercises 3-6, find the indefinite integral using the... Problem 7E: Using trigonometric Substitution In Exercises 3-6, find the indefinite integral using the... Problem 8E: Using trigonometric Substitution In Exercises 3-6, find the indefinite integral using the... Problem 9E: Using Trigonometric Substitution In Exercises 7-10, find the indefinite integral using the... Problem 10E: Using Trigonometric Substitution In Exercises 7-10, find the indefinite integral using the... Problem 11E: Using Trigonometric Substitution In Exercises 7-10, find the indefinite integral using the... Problem 12E: Using Trigonometric Substitution In Exercises 7-10, find the indefinite integral using the... Problem 20E: Special Integration Formulas In Exercises 15-18, use the Special Integration Formulas (Theorem 8.2)... Problem 13E Problem 14E Problem 15E Problem 16E Problem 17E Problem 18E Problem 19E Problem 21E Problem 22E Problem 23E: Finding an Indefinite Integral In Exercises 19-32, find the indefinite integral. 1x2x4dx Problem 24E: Finding an Indefinite Integral In Exercises 19-32, find the indefinite integral. 1x2x4dx Problem 25E: Finding an Indefinite Integral In Exercises 19-32, find the indefinite integral. 1x2x4dx Problem 26E: Finding an Indefinite Integral In Exercises19-32, find the indefinite integral. 25x2+4x4dx Problem 27E: Finding an Indefinite Integral In Exercises19-32, find the indefinite integral. 1x4x2+9dx Problem 28E: Finding an Indefinite Integral In Exercises19-32, find the indefinite integral. 1x9x2+1dx Problem 29E: Finding an Indefinite Integral In Exercises19-32, find the indefinite integral. 3(x2+3)3/2dx Problem 30E: Finding an Indefinite Integral In Exercises19-32, find the indefinite integral. 1(x2+5)3/2dx Problem 31E: Finding an Indefinite Integral In Exercises19-32, find the indefinite integral. ex1e2xdx Problem 32E Problem 33E: Finding an Indefinite Integral In Exercises19-32, find the indefinite integral. 14+4x2+x4dx Problem 34E: Finding an Indefinite Integral In Exercises19-32, Find the indefinite integral. x3+x+1x4+2x2+1dx Problem 35E Problem 36E Problem 37E: Completing the Square In Exercises 33-36, find the Indefinite integral x4xx2dx Problem 38E: Completing the Square In Exercises 33-36, complete the square and find the indefinite integral.... Problem 39E Problem 40E Problem 41E Problem 42E Problem 43E: Converting the Limits of Integration In Exercises 37-42, Evaluate the definite integral using (a)... Problem 44E Problem 45E: Converting the Limits of Integration In Exercises 37-42, Evaluate the definite integral using (a)... Problem 46E: Converting the Limits of Integration In Exercises 37-42, Evaluate the definite integral using (a)... Problem 47E Problem 48E Problem 49E: Comparing Methods (a) Find the integral x1x2dx dx using u-substitution. Then find the integral using... Problem 50E: How do you see it? Use the graph of f1 shown in the figure to answer the following (a). Identify the... Problem 51E Problem 52E Problem 53E Problem 54E Problem 55E: Area Find the Area enclosed by the ellipse x2a2+y2b2=1. Shown in the figure. Problem 56E: Area Find the area of the shaded region of the circle of radius a when the chord -is h units (0)... Problem 61E Problem 59E Problem 60E Problem 65E Problem 66E: Centroid In Exercise 57 and 58, Find the Centroid of the region bounded by the graphs of the... Problem 57E Problem 58E: Volume The axis of a storage tank in the form of a right circular cylinder is horizontal(see... Problem 68E: Field Strength The field strength H of a magnet of length 2L on a particle r units from the centre... Problem 62E Problem 63E Problem 64E Problem 69E: Fluid Force Find the fluid force on a circular observation window of radius 1 foot in a vertical... Problem 67E Problem 70E: Fluid Force Evaluate the following two integrals, which yield the fluid forces given in Example 6.... Problem 71E Problem 72E Problem 73E Problem 74E Problem 75E format_list_bulleted