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Q. `int log_ex dx` A) `log_e(|x| - 1) + c` B) `(log_e|x|)/x - 1 + c` C) ` `...
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Find `int lnx dx` **lnx is the natural logarithm or `log_e x` **
Use integration by parts:
Let `u=lnx, du=1/x dx,v=x,dv=dx`
`int lnx dx=xlnx-int x(1/x dx)`
`=xlnx-x+C` where C is an arbitrary constant.
(Alternative representation x(lnx-1)+C )
Posted by embizze on August 13, 2013 at 12:16 PM (Answer #1)
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