# Integration Problem

HI there!! i was wondering if you could help me with this..

how do you integrate -2xy/(1+x^2)?

Thank you.

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Hootenanny
Staff Emeritus
Gold Member
HI there!! i was wondering if you could help me with this..

how do you integrate -2xy/(1+x^2)?

Thank you.
Welcome to the forums,

Your question is incomplete. What are you integrating with respect to? Is y a function of x or vice versa?

As an aside, feel free to post a new topic for each new question, you don't need to tag your question on the end of others/

Hey!

Thanks for the quick reply.. Coz it a similar qns so i posted together with this. That equation is the gradient of a curve. So it's just to integrate with respect to x? How do you go about doing it?

Thank you.

Anyways this is the whole qns.

find the equation of the curve in the xy plane that passes through (1,2) and whose tangent line at a point (x,y) has a slope of -2xy/(1+x^2).

Hootenanny
Staff Emeritus
Gold Member
Anyways this is the whole qns.

find the equation of the curve in the xy plane that passes through (1,2) and whose tangent line at a point (x,y) has a slope of -2xy/(1+x^2).
Thanks, it's always a good idea to post the entire question. So you know that,

$$\frac{dy}{dx} = -\frac{2xy}{1+x^2}$$

Which is a first order ODE. What methods do you know for solving first order ODE's?

by using variable separable method?