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

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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

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Buzz Bloom
Gold Member
Hi Yuravv:

I suggest you try substituting x = sin y.

Hope that helps.

Regards,
Buzz

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.

Substitute ##x=\tan{y}##.

Ray Vickson
Science Advisor
Homework Helper
Dearly Missed
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.

Last edited:
Buzz Bloom
tanks a lot.
your answer helped me )

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
Mentor
tanks this is help me )
So please show us your work on this integral using the hints you have received...

vela
Staff Emeritus
Science Advisor
Homework Helper
Education Advisor
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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.