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
7.1 Area Of A Region Between Two Curves 7.2 Volume: The Disk Method 7.3 Volume: The Shell Method 7.4 Arc Length And Surfaces Of Revolution 7.5 Work 7.6 Moments, Centers Of Mass, And Centroids 7.7 Fluid Pressure And Fluid Force Chapter Questions expand_more
Problem 1E: CONCEPT CHECK Area What is the geometric interpretation of the area of the region between two... Problem 2E Problem 3E: CONCEPT CHECK Area Between Intersecting Curves Explain why it is important to determine all points... Problem 4E: CONCEPT CHECK Sketching a Region Sketch a region for which integration with respect to y is easier... Problem 5E: Writing a Definite Integral In Exercises 5-10, write a definite integral that represents the area of... Problem 6E: Writing a Definite Integral In Exercises 5-10, write a definite integral that represents the area of... Problem 7E: Writing a Definite Integral In Exercises 5-10, write a definite integral that represents the area of... Problem 8E: Writing a Definite Integral In Exercises 5-10, write a definite integral that represents the area of... Problem 9E: Writing a Definite Integral In Exercises 5-10, write a definite integral that represents the area of... Problem 10E: Writing a Definite Integral In Exercises 5-10, write a definite integral that represents the area of... Problem 11E: Finding a Region In Exercises 11-14, the integrand of the definite integral is a difference of two... Problem 12E: Finding a Region In Exercises 11-14, the integrand of the definite integral is a difference of two... Problem 13E: Finding a Region In Exercises 11-14, the integrand of the definite integral is a difference of two... Problem 14E: Finding a Region In Exercises 11-14, the integrand of the definite integral is a difference of two... Problem 15E: Finding the Area of a Region In Exercises 1S-2B, sketch the region bounded by the graphs of the... Problem 16E: Finding the area of a Region In Exercises 15-28. sketch the region bounded by the graphs of the... Problem 17E: Finding the area of a Region In Exercises 15-28. sketch the region bounded by the graphs of the... Problem 18E: Finding the area of a Region In Exercises 15-28. sketch the region bounded by the graphs of the... Problem 19E: Finding the area of a Region In Exercises 15-28. sketch the region bounded by the graphs of the... Problem 20E: Finding the area of a Region In Exercises 15-28. sketch the region bounded by the graphs of the... Problem 21E: Finding the area of a Region In Exercises 15-28. sketch the region bounded by the graphs of the... Problem 22E: Finding the area of a Region In Exercises 15-28. sketch the region bounded by the graphs of the... Problem 23E: Finding the area of a Region In Exercises 15-28. sketch the region bounded by the graphs of the... Problem 24E: Finding the area of a Region In Exercises 15-28. sketch the region bounded by the graphs of the... Problem 25E: Finding the area of a Region In Exercises 15-28. sketch the region bounded by the graphs of the... Problem 26E: Finding the area of a Region In Exercises 15-28. sketch the region bounded by the graphs of the... Problem 27E: Finding the area of a Region In Exercises 15-28. sketch the region bounded by the graphs of the... Problem 28E: Finding the area of a Region In Exercises 15-28. sketch the region bounded by the graphs of the... Problem 29E: Comparing Methods In Exercises 29 and 30, find the area of the region by integrating (a) with... Problem 30E: Comparing Methods In Exercises 29 and 30, find the area of the region by integrating (a) with... Problem 31E: Finding the Area of a Region In Exercises 31-36, (a) use a graphing utility to graph the region... Problem 32E Problem 33E: Finding the Area of a Region In Exercises 31-36, (a) use a graphing utility to graph the region... Problem 34E: Finding the Area of a Region In Exercises 31-36, (a) use a graphing utility to graph the region... Problem 35E: Finding the Area of a Region In Exercises 31-36, (a) use a graphing utility to graph the region... Problem 36E: Finding the Area of a Region In Exercises 31-36, (a) use a graphing utility to graph the region... Problem 37E: Finding the Area of a Region In Exercises 37-42, sketch the region bounded by the graphs of the... Problem 38E: Finding the Area of a Region In Exercises 37-42, sketch the region bounded by the graphs of the... Problem 39E: Finding the Area of a Region In Exercises 37-42, sketch the region bounded by the graphs of the... Problem 40E Problem 41E: Finding the Area of a Region In Exercises 37-42, sketch the region bounded by the graphs of the... Problem 42E: Finding the Area of a Region In Exercises 37-42, sketch the region bounded by the graphs of the... Problem 43E Problem 44E Problem 45E Problem 46E Problem 47E Problem 48E Problem 49E Problem 50E Problem 51E Problem 52E Problem 53E Problem 54E: Integration as an Accumulation Process In Exercises 53-56, find the accumulation function F. Then... Problem 55E Problem 56E Problem 57E: Finding the Area of a Figure In Exercises 57-60, use integration to find the area of the figure... Problem 58E Problem 59E Problem 60E: Finding the Area of a Figure In Exercises 57-60, use integration to find the area of the figure... Problem 61E Problem 62E: Using a Tangent Line In Exercises 61-64, write and evaluate the definite integral that represents... Problem 63E: Using a Tangent Line In Exercises 61-64, write and evaluate the definite integral that represents... Problem 64E Problem 65E Problem 66E Problem 67E Problem 68E Problem 69E Problem 70E Problem 71E Problem 72E Problem 73E Problem 74E Problem 75E: Revenue In Exercises 75 and 76. two models R 1, and R 2 are given for revenue (in millions of... Problem 76E Problem 77E Problem 78E: Profit The chief financial officer of a company reports that profits for the past fiscal year were... Problem 79E: Building Design Concrete sections for a new building have the dimensions (in meters) and shape shown... Problem 80E Problem 81E: Area Find the area between the graph of y=sinx and the line segment joining the points (0,0) and... Problem 82E Problem 83E Problem 84E Problem 85E Problem 86E Problem 87E format_list_bulleted