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

[Yuravv]

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

 

[Buzz Bloom]

Hi Yuravv:

I suggest you try substituting x = sin y.

Hope that helps.

Regards,
Buzz

 

[Yuravv]

Hi Yuravv:

I suggest you try substituting x = sin y.

Hope that helps.

Regards,
Buzz

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this dos'n help , do you have any anther suggestion?
tanks a lot.

 

[arpon]

Substitute $x=\tan{y}$.

 

[Ray Vickson]

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.

 

[Yuravv]

tanks a lot.
your answer helped me )

 

[Yuravv]

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 )

 

[berkeman]

tanks this is help me )

So please show us your work on this integral using the hints you have received...

 

[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.