R Functions, Graphs, And Models 1 Differentiation 2 Applications Of Differentiation 3 Exponential And Logarithmic Functions 4 Integration 5 Applications Of Integration 6 Functions Of Several Variables CR Cumulative Review A Review Of Basic Algebra PSDT Prerequisite Skills Diagnostic Test expand_more
4.1 Antidifferentiation 4.2 Antiderivatives As Areas 4.3 Area And Definite Integrals 4.4 Properties Of Definite Integrals 4.5 Integration Techniques: Substitution 4.6 Integration Techniques: Integration By Parts 4.7 Integration Techniques: Tables Chapter Questions expand_more
Problem 1E: Find each integral.
1.
Problem 2E: Find each integral.
2.
Problem 3E: Find each integral. 2dx Problem 4E: Find each integral. 4dx Problem 5E: Find each integral. x1/4dx Problem 6E: Find each integral. x1/3dx Problem 7E: Find each integral.
7.
Problem 8E: Find each integral.
8.
Problem 9E: Find each integral. (2t2+5t3)dt Problem 10E: Find each integral.
10.
Problem 11E: Find each integral.
11.
Problem 12E: Find each integral.
12.
Problem 13E: Find each integral. x3dx Problem 14E: Find each integral. xdx Problem 15E: Find each integral. x5dx Problem 16E: Find each integral. x23dx Problem 17E: Find each integral. dxx4 Problem 18E: Find each integral. dxx2 Problem 19E: Find each integral.
19.
Problem 20E: Find each integral.
20.
Problem 21E: Find each integral.
21.
Problem 22E: Find each integral.
22.
Problem 23E: Find each integral. 7x23dx Problem 24E: Find each integral.
24.
Problem 25E: Find each integral. 2e2xdx Problem 26E: Find each integral.
26.
Problem 27E: Find each integral. e3xdx Problem 28E: Find each integral. e5xdx Problem 29E: Find each integral.
29.
Problem 30E: Find each integral. e6xdx Problem 31E: Find each integral. 5e3xdx Problem 32E: Find each integral. 2e5xdx Problem 33E: Find each integral.
33.
Problem 34E: Find each integral.
34.
Problem 35E: Find each integral. 23e9xdx Problem 36E: Find each integral. 45e10xdx Problem 37E: Find each integral.
37.
Problem 38E: Find each integral. (2x54e3x)dx Problem 39E: Find each integral.
39.
Problem 40E: Find each integral. (x4+18x45x2/5)dx Problem 41E: Find each integral. (3x+2)2dx (Hint: Expand first.) Problem 42E: Find each integral.
42.
Problem 43E: Find each integral. (3x5e2e+x7)dx,x0 Problem 44E: Find each integral. (2e6x3x+x43)dx,x0 Problem 45E: Find each integral. (7x23e5x8x)dx,x0 Problem 46E: Find each integral. (4x5+34e6x7x)dx,x0 Problem 47E: Find f such that: f(x)=x3,f(2)=9 Problem 48E: Find such that:
48.
Problem 49E: Find such that:
49.
Problem 50E: Find such that:
50.
Problem 51E: Find f such that: f(x)=5x2+3x7,f(0)=9 Problem 52E: Find f such that: f(x)=8x2+4x2,f(0)=6 Problem 53E: Find f such that: f(x)=3x25x+1,f(1)=72 Problem 54E: Find f such that: f(x)=6x24x+2,f(1)=9 Problem 55E: Find f such that: f(x)=5e2x,f(0)=12 Problem 56E: Find f such that: f(x)=3e4x,f(0)=74 Problem 57E: Find such that:
57.
Problem 58E Problem 59E: Credit Market Debt.
Since 2009, the annual rate of change in the national credit market debt can be... Problem 60E: Credit Market Debt.
Since 2009, the annual rate of change in the national credit market debt can be... Problem 61E: Total cost from marginal cost. Belvedere, Inc., determines that the marginal cost, C of producing... Problem 62E: 62. Total cost from marginal cost. Solid Rock industries determines that the marginal cost, C’ of... Problem 63E: 63. Total revenue from marginal revenue. Eloy Chutes determines that the marginal revenue, , in... Problem 64E: Total revenue from marginal revenue. Taylor Ceramics determines that the marginal revenue, R, in... Problem 65E: Demand from marginal demand. Lessard Company finds that the rate at which the quantify of flameless... Problem 66E Problem 67E: 67. Efficiency of a machine operator. The rate at which a machine operator’s efficiency, E... Problem 68E: Efficiency of a machine operator. The rate at which a machine operators efficiency, E (expressed as... Problem 69E: 69. Heart rate. The rate of change in Trisha’s pulse (in beats per minute) t minutes after she stops... Problem 70E: 70. Memory. In a memory experiment, the rate at which students memorize Spanish vocabulary is found... Problem 71E: 71. Physics: height of a thrown baseball. A baseball is thrown directly upward with an initial... Problem 72E: Physics: height of an object. A football player punts a football, which leaves his foot at a height... Problem 73E: 73. Population growth. The rates of changes in population for two cities are as followers:
,
,
Where... Problem 74E: Comparing rates of change. Jim is offered a job that will pay him $50 in the first day, $100 on the... Problem 75E Problem 76E Problem 77E: Solve each integral. Each can be found using rules developed in this section, but some algebra may... Problem 78E: Solve each integral. Each can be found using rules developed in this section, but some algebra
may... Problem 79E: Solve each integral. Each can be found using rules developed in this section, but some algebra
may... Problem 80E: Solve each integral. Each can be found using rules developed in this section, but some algebra may... Problem 81E: Solve each integral. Each can be found using rules developed in this section, but some algebra may... Problem 82E Problem 83E Problem 84E Problem 85E Problem 86E Problem 87E format_list_bulleted