How integrate 1/(x(1+x^2)^0.5) dx

  • #1
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Hi everyone, Can you tell me how to integrate the following equation?
Integrate(1/(x(1+x^2)^0.5) dx
 

Answers and Replies

  • #2
Buzz Bloom
Gold Member
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Hi Yuravv:

I suggest you try substituting x = sin y.

Hope that helps.

Regards,
Buzz
 
  • #3
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Hi Yuravv:

I suggest you try substituting x = sin y.

Hope that helps.

Regards,
Buzz
--------------------
this dos'n help , do you have any anther suggestion?
tanks a lot.
 
  • #4
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Substitute ##x=\tan{y}##.
 
  • #5
Ray Vickson
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Hi everyone, Can you tell me how to integrate the following equation?
Integrate(1/(x(1+x^2)^0.5) dx
Whenever you see something like ##\sqrt{1+x^2}## that is a reminder that ##1 + \sinh^2y = \cosh^2y##, suggesting that ##x = \sinh y## might be a good change of variables.
 
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  • #6
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tanks a lot.
your answer helped me )
 
  • #7
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Whenever you see something like ##\sqrt{1+x^2}## that is a reminder that ##1 + \sinh^2y = \cosh^2y##, suggesting that ##x = \sinh y## might be a good change of variables.
tanks this is help me )
 
  • #8
berkeman
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tanks this is help me )
So please show us your work on this integral using the hints you have received...
 
  • #9
vela
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this dos'n help , do you have any anther suggestion?
tanks a lot.
Yes, please proofread what you've written before hitting submit.
 

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