the problem is to prove that -∫(-1 to 1) u^(n-1)(x) u^(n+1)(x)dx = (-1)^n ∫(-1 to 1)u(x)u^(2n)(x)dx
here (n-1),(n+1),(2n) are n th derivatives and u(x) = (x²-1)^n
plz help me to prove above problem...
You should latex these so they are readable.
This is a good online latex creator. It uses pull down menus and produces perfect latex every time.
That is the LHS of your question. Refresh my memory, which polynomials are u(x)?
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
thanks for replying..
that problem u interpreted is correct, and u(x)=\left(x^2-1)^n