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

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1. Oct 21, 2016

### Yuravv

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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

2. Oct 21, 2016

### Buzz Bloom

Hi Yuravv:

I suggest you try substituting x = sin y.

Hope that helps.

Regards,
Buzz

3. Oct 21, 2016

### Yuravv

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

4. Oct 21, 2016

### arpon

Substitute $x=\tan{y}$.

5. Oct 21, 2016

### Ray Vickson

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: Oct 21, 2016
6. Oct 21, 2016

### Yuravv

tanks a lot.

7. Oct 21, 2016

### Yuravv

tanks this is help me )

8. Oct 21, 2016

### Staff: Mentor

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

9. Oct 21, 2016

### vela

Staff Emeritus
Yes, please proofread what you've written before hitting submit.