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100 Integrals : solutions and engineering applications / Mehrzad Tabatabaian.
- Format:
- Book
- Author/Creator:
- Tabatabaian, Mehrzad.
- Language:
- English
- Subjects (All):
- Engineering mathematics.
- Physical Description:
- 1 online resource (217 pages)
- Edition:
- 1st ed.
- Other Title:
- 100 Integrals
- Place of Publication:
- Boston : Mercury Learning & Information, [2023].
- Summary:
- This monograph contains a collection of integrals, some more challenging than others, with their worked-out solutions as indefinite integrals. The integrals were randomly selected, modified, or designed with the condition of having closed forms solutions with common functions. This list is meant for helping readers in practicing and getting hints for working out solutions to similar integrals that they might encounter. Readers might want to add their own favorite integrals to this list. We also present the application of some integrals in engineering related topics. For example, nonuniform loading, hydrostatic force, moment of inertia, polar moment of inertia, etc. We introduce an up-to-date online software tool, WolframAlpha, that can be used for comparing our answers for the integrals listed. However, readers may want to update to WolframAlpha Pro for recovering some of the integrals' step-by-step solutions. In addition, similar CAS (computer algebra system) tools like Maple, Mathematica, or Mathcad may also be employed. FEATURES: * Presents the application of some integrals in engineering related topics, e.g., nonuniform loading, hydrostatic force, moment of inertia, polar moment of inertia, etc. * Introduces the up-to-date, online software tool, WolframAlpha, that can be used for comparing answers for the integrals listed
- Contents:
- Cover
- Half-Title
- Title
- Copyright
- Dedication
- Contents
- Preface
- About the Author
- Part 1: List of Selected Integrals with Their Step-By-Step Solutions
- Table 1 List of Selected Integrals for Part 1
- Integral 1
- Integral 2
- Integral 3
- Integral 4
- Integral 5
- Integral 6
- Integral 7
- Integral 8
- Integral 9
- Integral 10
- Integral 11
- Integral 12
- Integral 13
- Integral 14
- Integral 15
- Integral 16
- Integral 17
- Integral 18
- Integral 19
- Integral 20
- Integral 21
- Integral 22
- Integral 23
- Integral 24
- Integral 25
- Integral 26
- Integral 27
- Integral 28
- Integral 29
- Integral 30
- Integral 31
- Integral 32
- Integral 33
- Integral 34
- Integral 35
- Integral 36
- Integral 37
- Integral 38
- Integral 39
- Integral 40
- Integral 41
- Integral 42
- Integral 43
- Integral 44
- Integral 45
- Integral 46
- Integral 47
- Integral 48
- Integral 49
- Integral 50
- Integral 51
- Integral 52
- Integral 53
- Integral 54
- Integral 55
- Integral 56
- Integral 57
- Integral 58
- Integral 59
- Integral 60
- Integral 61
- Integral 62
- Integral 63
- Integral 64
- Integral 65
- Integral 66
- Integral 67
- Integral 68
- Integral 69
- Integral 70
- Integral 71
- Integral 72
- Integral 73
- Integral 74
- Integral 75
- Integral 76
- Integral 77
- Integral 78
- Integral 79
- Integral 80
- Integral 81
- Integral 82
- Integral 83
- Integral 84
- Integral 85
- Integral 86
- Integral 87
- Integral 88
- Integral 89
- Integral 90
- Integral 91
- Integral 92
- Integral 93
- Integral 94
- Integral 95
- Integral 96
- Integral 97
- Integral 98
- Integral 99
- Integral 100
- Part 2: Examples Applied in Engineering
- 1 Semi-Circle Shapes
- 2 Circular Segment Shapes
- 3 Semi-Ellipse Shapes
- 4 Two-Degree Polynomial Shape-Quadratic.
- 5 Three-Degree Polynomial Shape-Cubic
- 6 n-Degree Polynomial Shape-Spandrel
- 7 Sinusoidal Shapes
- 8 Triangular Shapes
- 9 Rectangular Shapes
- 10 Complex Shapes
- 11 A Cantilever Beam with Cubic Load Distribution
- 12 A Cantilever Beam with Quarter-Ellipse Load Distribution
- 13 A Cantilever Beam with Inverse Cosine Load Distribution
- 14 A Cantilever Beam with Parabolic Load Distribution
- 15 A Cantilever Beam with Circular Segment Cross-Section and Quarter-Ellipse Load Distribution
- 16 Probability Density Functions-PDF
- References.
- Notes:
- Description based on publisher supplied metadata and other sources.
- ISBN:
- 9781683929666
- 1683929667
- 9781683929659
- 1683929659
- OCLC:
- 1425555915
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