Engineering ToolBox - Resources, Tools and Basic Information for Engineering and Design of Technical Applications!

This is an AMP page - Open full page! for all features.

• the most efficient way to navigate the Engineering ToolBox!

# Constants of e

e is a mathematical constant - also called the Euler's number. e is a real and irrational number and defined as

e = limx→∞(1 + 1 / x)x

=   limx→∞(1 + x)1/x

= 2.71828 18284 59045 23536 02874 71352 66249 77572 47093 ...                            (1)

• 1/e = 0.36787 94411 71442 32159 55237 70161 46086 74458 11131 ...                        (2)
• e2 = 7.38905 60989 30650 22723 04274 60575 00781 31803 15570 ...                         (3)
• M = log10 e = 0.43429 44819 03251 82765 11289 18916 60508 22943 97005 ...                      (4)
• 1/M = loge 10 = 2.30258 50929 94045 68401 79914 54684 36420 76011 01488 ...                        (5)
• log10 M = 9.63778 43113 00536 78912 29674 ...                         (6)

Derivatives of e

(ex)' = ex                        (7)

Integrals of e

∫ ex dx = ex  + c                        (8)

Base e logarithm

ln x = logex                   (9)

Exponential function

f(x) = exp(x) = ex                    (10)

Euler's equation

e = cos(θ) + i sin(θ)                    (11)

## Related Topics

### • Miscellaneous

Engineering related topics like Beaufort Wind Scale, CE-marking, drawing standards and more.

## Related Documents

### Constants of π

The mathematical π constants.

### Differential Calculus

Derivatives and differentiation expressions.

### Logarithms

The rules of logarithms - log10 and loge for numbers ranging 1 to 1000.

### Numerical Constants

Some numerical constants.

### Physical Constants

Physical constants - SI Units.

### Scientific Calculator

Online scientific calculator.

### Solar System Constants

Properties and data for the Sun, the Earth and the Moon.

## Search Engineering ToolBox

• the most efficient way to navigate the Engineering ToolBox!

## SketchUp Extension - Online 3D modeling!

Add standard and customized parametric components - like flange beams, lumbers, piping, stairs and more - to your Sketchup model with the Engineering ToolBox - SketchUp Extension - enabled for use with the amazing, fun and free SketchUp Make and SketchUp Pro . Add the Engineering ToolBox extension to your SketchUp from the Sketchup Extension Warehouse!