Simple (?) Integral

  • Thread starter m1ndpixel
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  • #1
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Hi,

The integral of ((1-x)/x^2)dx is: -(1/x) + ln(x) + c
Is that correct?

Mathematica is giving some strange answer containing a log.
Thanks
 

Answers and Replies

  • #2
rock.freak667
Homework Helper
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Hi,

The integral of ((1-x)/x^2)dx is: -(1/x) + ln(x) + c
Is that correct?

Mathematica is giving some strange answer containing a log.
Thanks
+ln(x) should be -ln(x)
 
  • #3
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0
sorry, yes thats what i meant!
 
  • #4
rock.freak667
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sorry, yes thats what i meant!

then it should be correct providing that you remember to change the + to a -.
 
  • #5
HallsofIvy
Science Advisor
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Hi,

The integral of ((1-x)/x^2)dx is: -(1/x) + ln(x) + c
Is that correct?
Almost. (1-x)/x2= 1/x2- 1/x and the integral of that is -1/x- ln(x)+ c

Mathematica is giving some strange answer containing a log.
Thanks
??YOUR answer contains a log! What was the strange answer Mathematica gave? If you mean that Mathematica is giving an answer with a logarithm base 10, perhaps it is using the fact that ln(x)= log(x)/log(e) where "log" is logarithm base 10. If it is just giving -1/x- log(x)+ c, then it is using "log" to mean natural logarithm. That is fairly standard now where common logarithms are not much used.
 

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