3psilon
  • 3psilon
Why is the integral of dx/x == ln(x)
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
\[\int \ln(x)dx=x\ln(x)-x\] by integration by parts, best to just memorize it
baldymcgee6
  • baldymcgee6
|dw:1351464153935:dw|
anonymous
  • anonymous
maybe i did not understand the question \[\int\frac{dx}{x}=\ln(x)\] as stated by @baldymcgee6

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baldymcgee6
  • baldymcgee6
|dw:1351464256324:dw|
3psilon
  • 3psilon
thx guys
baldymcgee6
  • baldymcgee6
If you really want the proof.. http://en.wikipedia.org/wiki/E_(mathematical_constant)#e_in_calculus
anonymous
  • anonymous
|dw:1351465496164:dw|
anonymous
  • anonymous
|dw:1351465582930:dw|
anonymous
  • anonymous
|dw:1351465665377:dw|
anonymous
  • anonymous
|dw:1351465737522:dw|
anonymous
  • anonymous
|dw:1351465876937:dw|
anonymous
  • anonymous
|dw:1351465962075:dw|
anonymous
  • anonymous
|dw:1351466032122:dw|

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