I am trying to integrate y.(dy/dx) wrt x

I know the answer is (y^2)/2 but I don't know how to get the answer. Can someone please point me in the right direction

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- April 3rd 2013, 01:54 AMakhattabIntegration problem
I am trying to integrate y.(dy/dx) wrt x

I know the answer is (y^2)/2 but I don't know how to get the answer. Can someone please point me in the right direction - April 3rd 2013, 02:13 AMRuunRe: Integration problem
Is anything else than the chain rule:

In your particular case ,

- April 3rd 2013, 02:50 AMakhattabRe: Integration problem
I'm sorry but I don't get it, can you elaborate a little more?

- April 3rd 2013, 02:53 AMRuunRe: Integration problem
Let be any (differentiable) function of . Do you know the derivative of with respect to ?

- April 3rd 2013, 03:52 AMakhattabRe: Integration problem
Of course, 2y.(dy/dx)

But I don't get how that relates to my specific problem. I appreciate your patience with me :) - April 3rd 2013, 03:57 AMRuunRe: Integration problem
You have the following equality

If two things are the same, their integrals should also be the same. So, integrate both sides and see what happens to the left hand side of the equation - April 3rd 2013, 05:04 AMakhattabRe: Integration problem
I get it! Clever way of solving the problem :)