The discussion revolves around the integration of the function 1/(x(1+x^2)^(0.5)) dx, which falls under the subject area of calculus, specifically integration techniques.
The discussion is ongoing, with multiple substitution methods being proposed. Some participants indicate that the suggestions have been beneficial, while others are still seeking further assistance. There is no clear consensus on the best approach yet.
Participants have expressed frustration with the effectiveness of the suggestions provided, indicating a potential gap in understanding or application of the proposed methods.
--------------------Buzz Bloom said:Hi Yuravv:
I suggest you try substituting x = sin y.
Hope that helps.
Regards,
Buzz
Yuravv said:Hi everyone, Can you tell me how to integrate the following equation?
Integrate(1/(x(1+x^2)^0.5) dx
Ray Vickson said: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.
So please show us your work on this integral using the hints you have received...Yuravv said:tanks this is help me )
Yes, please proofread what you've written before hitting submit.Yuravv said:--------------------
this dos'n help , do you have any anther suggestion?
tanks a lot.