B Problems 15–28 are mixed—some require integration by parts, and others can be solved with techniques considered earlier. Integrate as indicated , assuming x > 0 whenever the natural logarithm function is involved. 24. ∫ x 2 x 3 + 5 d x
B Problems 15–28 are mixed—some require integration by parts, and others can be solved with techniques considered earlier. Integrate as indicated , assuming x > 0 whenever the natural logarithm function is involved. 24. ∫ x 2 x 3 + 5 d x
Solution Summary: The author explains how to find the value of indefinite integral displaystyle
BProblems 15–28 are mixed—some require integration by parts, and others can be solved with techniques considered earlier. Integrate as indicated, assuming x > 0 whenever the natural logarithm function is involved.
24.
∫
x
2
x
3
+
5
d
x
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
In Problems 5–7, solve each equation.
5. 3' = 243
6. log,16 = 2
7. logs x = 4
9. Solve.
log,(x– 3)+ log,(x+ 4) = 3
In Problems 61–74, use a graphing utility to solve each equation. Express your answer rounded to two decimal places.
61. logs(x + 1) – log4(x – 2) = 1
62. log2 (x – 1) – log6(x + 2) = 2
63. e* = -x
64. e2* = x + 2
65. e* = x²
66. e* = x
69. In x = x – 1
73. e* = In x
67. In x = -x
68. In (2x) = -x + 2
70. In x = -x?
71. e + In x = 4
72. e - In xr = 4
74. e = -In x
Chapter 6 Solutions
Calculus for Business, Economics, Life Sciences and Social Sciences Books a la Carte Edition Plus NEW MyLab Math with Pearson eText -- Access Card Package (13th Edition)
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