Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

You are not logged in.

- Topics: Active | Unanswered

Pages: **1**

**maths4prasad****Member**- Registered: 2013-08-15
- Posts: 3

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..

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 105,282

Hi;

The first thing is that has to formatted in a way that can be read. Do you know how to use latex?

First of all what is P^2(n)(x)? The Legendre polynomials? Did I interpret your problem correctly in my latex?

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.****No great discovery was ever made without a bold guess. **

Offline

Pages: **1**