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Problem Set 4.3 In Problems 1-8, find a formula for and graph the accumulation function A(x) that is equal to the indicated area. 1.
Problem Set 4.3 In Problems 1-8, find a formula for and graph the accumulation function A(x) that is equal to the indicated area. 1. 3. and 4- 11. 3- 2- 1. 1 -1+ 3. Suppose that [ f(x) dx = 2 1 f 8 ( x g(x) dx 2. LA 2 3 A(x) 1 2 3 * 4 5 9. [^2f(x) dx [125(x) 15. A(x) [2f(x) + g(x)] dx x dx [(3x - 17. [cos (3x 1 1 2x + 3) dx 2. interval additivity, and so on) to calculate each of the integrals in Problems 9-16. cos(3x + 2) dx g(x) dx = -1, = 4. Use properties of definite integrals (linearity, f(x) dx = 3, 10. 1 2 12. 4. Problem Set 4.4 In Problems 1-14, use the Second Fundamental Theorem of Cal- culus to evaluate each definite integral. A(x) A X 2 3 16. 3 [125 (5) A(x) 2f(x) dx 2. [x'dx Lx -1 4 [(4x + [2f(s) + g(s)] ds 5 In Problems 15-34, use the method of substitution to find each of the following indefinite integrals. [3x + 2 dx 2x (4x + 7) dx 1 4 dx 18. [sin(2x - 4) dx
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