Problem 1CQ: Explain how the method of substitution works by showing the steps used to find f(g(x))g(x)dx. Problem 2CQ Problem 1E: In Exercises 1-50, find the indefinite integral. 1. 4(4x+3)dx Problem 2E: In Exercises 1-50, find the indefinite integral. 2. 4x(2x2+1)7dx Problem 3E: In Exercises 1-50, find the indefinite integral. 3. (x32x)2(3x22)dx Problem 4E: In Exercises 1-50, find the indefinite integral. 4. (3x22x+1)2(x3x2+x)4dx Problem 5E: In Exercises 1-50, find the indefinite integral. 5. 4x(2x2+3)3dx Problem 6E: In Exercises 1-50, find the indefinite integral. 6. 3x2+2(x3+2x)dx Problem 7E Problem 8E: In Exercises 1-50, find the indefinite integral. 8. 3t2(t3+2)3/2dt Problem 9E: In Exercises 1-50, find the indefinite integral. 9. 2(x21)9xdx Problem 10E: In Exercises 1-50, find the indefinite integral. 10. x2(2x3+3)4dx Problem 11E Problem 12E: In Exercises 1-50, find the indefinite integral. 12. x2x31dx Problem 13E: In Exercises 1-50, find the indefinite integral. 13. 2x2dx Problem 14E Problem 15E: In Exercises 1-50, find the indefinite integral. 15. 0.3x0.20.3x20.4x+2dx Problem 16E: In Exercises 1-50, find the indefinite integral. 16. 2x2+10.2x3+0.3xdx Problem 17E Problem 18E: In Exercises 1-50, find the indefinite integral. 18. x21x33x+1dx Problem 19E: In Exercises 1-50, find the indefinite integral. 19. e2x dx Problem 20E: In Exercises 1-50, find the indefinite integral. 20. e0.02x dx Problem 21E Problem 22E Problem 23E: In Exercises 1-50, find the indefinite integral. 23. xex2dx Problem 24E: In Exercises 1-50, find the indefinite integral. 24. x2ex31dx Problem 25E: In Exercises 1-50, find the indefinite integral. 25. (exex)dx Problem 26E: In Exercises 1-50, find the indefinite integral. 26. (e2xe3x)dx Problem 27E: In Exercises 1-50, find the indefinite integral. 27. 2ex1+exdx Problem 28E: In Exercises 1-50, find the indefinite integral. 28. e2x1+e2xdx Problem 29E: In Exercises 1-50, find the indefinite integral. 29. exxdx Problem 30E: In Exercises 1-50, find the indefinite integral. 30. e1/xx2dx Problem 31E Problem 32E: In Exercises 1-50, find the indefinite integral. 32. exex(ex+ex)3/2dx Problem 33E Problem 34E: In Exercises 1-50, find the indefinite integral. 34. ex(1+ex)dx Problem 35E: In Exercises 1-50, find the indefinite integral. 35. ln5xxdx Problem 36E Problem 37E: In Exercises 1-50, find the indefinite integral. 37. 3xlnxdx Problem 38E: In Exercises 1-50, find the indefinite integral. 38. 1x(lnx)2dx Problem 39E Problem 40E: In Exercises 1-50, find the indefinite integral. 40. (lnx)7/2xdx Problem 41E Problem 42E: In Exercises 1-50, find the indefinite integral. 42. (xex2+exex+3)dx Problem 43E: In Exercises 1-50, find the indefinite integral. 43. x+1x1dx Hint: Let u=x1. Problem 44E: In Exercises 1-50, find the indefinite integral. 44. eu1eu+udx Hint: Let v=eu+u. Problem 45E: In Exercises 1-50, find the indefinite integral. 45. x(x1)dx Hint: Let u= x 1 implies x = u + 1. Problem 46E: In Exercises 1-50, find the indefinite integral. 46. tt+1dt Hint: tt+1=11t+1 Problem 47E Problem 48E: In Exercises 1-50, find the indefinite integral. 48. 1+x1xdx Hint: u=1x Problem 49E Problem 50E: In Exercises 1-50, find the indefinite integral. 50. x3(x2+1)3/2dx Hint: u = x2 + 1. Problem 51E: In Exercises 51-54, find the function f given that the slope of the tangent line to the graph of f... Problem 52E Problem 53E: In Exercises 51-54, find the function f given that the slope of the tangent line to the graph of f... Problem 54E Problem 55E: STUDENT Enrollment The registrar of Kellogg University estimates that the student enrollment in the... Problem 56E: TV VIEWERS: NEWSMAGAZINE SHOWS The number of viewers of a weekly TV newsmagazine show, introduced in... Problem 57E: CREDIT Card LOSSES in the United KINGDOM The mail and the Internet are major routes for fraud... Problem 58E Problem 59E: POPULATION GROWTH The population of a certain city is projected to grow at the rate of... Problem 60E: OIL SPILL In calm waters, the oil spilling from the ruptured hull of a grounded tanker forms an oil... Problem 61E: LIFE Expectancy OF A Female Suppose that in a certain country, the life expectancy at birth of a... Problem 62E: LEARNING Curves The average student enrolled in the 20-week Court Reporting I course at the American... Problem 63E: U.S. ONLINE Video Viewers The number of online video viewers in the United States was growing at the... Problem 64E: VIDEO ads In recent years, video ads have become the most popular rich media format for ad buyers as... Problem 65E: U.S. ONLINE ad REVENUES Online advertisement revenues took a slight dip in 2009, but since then,... Problem 66E: AVERAGE Birth Height of BOYS Using data collected at Kaiser Hospital, pediatricians estimate that... Problem 67E: AMOUNT of Glucose IN the BLOODSTREAM Suppose a patient is given a continuous intravenous infusion of... Problem 68E: CONCENTRATION of A Drug in an Organ A drug is carried into an organ of volume V cm3 by a liquid that... Problem 69E Problem 70E: In Exercises 69-72, determine whether the statement is true or false. If it is true, explain why it... Problem 71E: In Exercises 69-72, determine whether the statement is true or false. If it is true, explain why it... Problem 72E format_list_bulleted