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#1 Re: Help Me ! » n th derivative » 2013-08-21 04:43:01

thanks for replying..
that problem u interpreted is correct, and u(x)=\left(x^2-1)^n

#2 Help Me ! » n th derivative » 2013-08-15 03:57:24

maths4prasad
Replies: 3

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...

#3 Help Me ! » rodrigues formula » 2013-08-15 03:45:39

maths4prasad
Replies: 1

problem was to prove that ∑(n=0 to n=∞) t^2n ∫(-1 to 1)P^2(n)(x)dx=∫(-1 to 1) (dx ÷(1-2xt+t²)) = (1÷t)(log(1+t) ÷log(1-t))
upto this i followed but after that last step the book which i am refering gives answer =2÷(2n+1)
can u just help me how to come to that answer.. plz give me steps to follow..

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