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

## The mathematical e constants.

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.

## 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!

## Privacy

We don't collect information from our users. Only emails and answers are saved in our archive. Cookies are only used in the browser to improve user experience.

Some of our calculators and applications let you save application data to your local computer. These applications will - due to browser restrictions - send data between your browser and our server. We don't save this data.

Temperature

oC
oF

Length

m
km
in
ft
yards
miles
naut miles

Area

m2
km2
in2
ft2
miles2
acres

Volume

m3
liters
in3
ft3
us gal

Weight

kgf
N
lbf

Velocity

m/s
km/h
ft/min
ft/s
mph
knots

Pressure

Pa (N/m2)
bar
mm H2O
kg/cm2
psi
inches H2O

Flow

m3/s
m3/h
US gpm
cfm

3 30