Appendix E: Table of IntegralsTable of Integrals
by Magno Urbano
Introductory Electrical Engineering With Math Explained in Accessible Language
- Cover
- About the Author
- Preface
- Acknowledgement
- Introduction
- Conventions
- 1 Scientific Method
- 2 Infinitesimal Calculus
- 3 Atom
- 4 Voltage and Current
- 5 Resistors
- 5.1 Introduction
- 5.2 Resistor
- 5.3 Electric Resistance
- 5.4 Symbols
- 5.5 Types of Resistor
- 5.6 Power
- 5.7 Color Code
- 5.8 Potentiometer
- 5.9 Trimpots
- 5.10 Practical Usage
- 5.11 Electric Characteristics
- 5.12 Resistors in Series
- 5.13 Resistors in Parallel
- 5.14 DC and AC Analysis
- 5.15 Input and Output Synchronism
- Solutions
- 6 Ohm’s Laws
- 7 Delta–Wye Conversions
- 8 Capacitors
- 8.1 Introduction
- 8.2 History
- 8.3 How It Works
- 8.4 Electric Characteristics
- 8.5 Electric Field
- 8.6 Capacitance
- 8.7 Stored Energy
- 8.8 Voltage and Current
- 8.9 Examples
- 8.10 AC Analysis
- 8.11 Capacitive Reactance
- 8.12 Phase
- 8.13 Electrolytic Capacitor
- 8.14 Variable Capacitors
- 8.15 Capacitors in Series
- 8.16 Capacitors in Parallel
- 8.17 Capacitor Color Code
- 8.18 Capacitor Markings
- Solutions
- 9 Electromagnetism
- 10 Inductors
- 11 Transformers
- 12 Generators
- 13 Semiconductors
- 14 Diodes and Transistors
- 15 Voltage and Current Sources
- 16 Source Transformations
- 17 Impedance and Phase
- 18 Power
- 19 Kirchhoff’s Laws
- 20 Nodal Analysis
- 21 Thévenin’s Theorem
- 22 Norton’s Theorem
- 23 Superposition Theorem
- 24 Millman’s Theorem
- 25 RC Circuits
- 26 RL Circuits
- 27 RLC Circuits: Part 1
- 28 RLC Circuits: Part 2
- 29 Transistor Amplifiers
- 30 Operational Amplifiers
- 31 Instrumentation and Bench
- Appendix A: International System of Units (SI)International System of Units (SI)
- Appendix B: Color Code: ResistorsColor Code: Resistors
- Appendix C: Root Mean Square (RMS) ValueRoot Mean Square (RMS) Value
- Appendix D: Complex NumbersComplex Numbers
- Appendix E: Table of IntegralsTable of Integrals
- Appendix F: AWG Versus Metric System: Wire Cross Sections AWG Versus Metric System: Wire Cross Sections
- Appendix G: Resistors: Commercial ValuesResistors: Commercial Values
- Appendix H: Capacitors: Commercial ValuesCapacitors: Commercial Values
- Appendix I: Inductors: Commercial ValuesInductors: Commercial Values
- Appendix J: Simulation ToolsSimulation Tools
- Appendix K: GlossaryGlossary
- Index
- End User License Agreement
Appendix E
Table of Integrals
| Integral | Result |
| ∫xndx |  |
 |
ln(x) → x > 0 − ln(x) → x < 0 |
 |
 |
 |
 |
 |
 |
| ∫(x + a)ndx |  if x ≠ − 1 |
| ∫ ln(x)dx | x ln(x) − x |
| ∫ ln(ax)dx | x ln(ax) − x |
 |
 |
| ∫eaxdx |  |
| ∫xexdx | (x − 1)ex |
| ∫xeaxdx |  |
 |
 |
| ∫ex sin (x)dx |  |
| ∫ sin (x)dx | − cos (x) |
| ∫ cos (x)dx | sin(x) |
| ∫ tan (x)dx | ln ∣ sec (x)∣ |
| ∫ tan (x)dx | − ln [cos (x)] |
| ∫x sin(x)dx | −x cos(x) + sin (x) |
| ∫x cos(x)dx | cos (x) + x sin(x) |
| ∫ sin (x) cos (x)dx |  |
| ∫sin2(x)dx |  |
| ∫cos2(x)dx |  |
| ∫ sinh (x)dx | cosh (x) |
| ∫ cosh (x)dx | sinh (x) |
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