![EXAMPLE The primitive of the ( f ( x ) = left( 1 - frac { 1 } { x ^ { 2 } } right) a ^ { x + frac { 1 } { x } } , x > 0 , i s ) EXAMPLE The primitive of the ( f ( x ) = left( 1 - frac { 1 } { x ^ { 2 } } right) a ^ { x + frac { 1 } { x } } , x > 0 , i s )](https://toppr-doubts-media.s3.amazonaws.com/images/1123545/c64e74b7-cf9b-46ed-b837-dfc1c1b82cd3.jpg)
EXAMPLE The primitive of the ( f ( x ) = left( 1 - frac { 1 } { x ^ { 2 } } right) a ^ { x + frac { 1 } { x } } , x > 0 , i s )
![SOLVED: If p is an odd prime and x^2 ≡ 1 (mod p), prove that x ≡ ±1 (mod p). 1.2. If p is an odd prime and a is a primitive SOLVED: If p is an odd prime and x^2 ≡ 1 (mod p), prove that x ≡ ±1 (mod p). 1.2. If p is an odd prime and a is a primitive](https://cdn.numerade.com/ask_previews/370312e6-c097-4d15-b670-61b215a499af_large.jpg)
SOLVED: If p is an odd prime and x^2 ≡ 1 (mod p), prove that x ≡ ±1 (mod p). 1.2. If p is an odd prime and a is a primitive
![SOLVED: The generating function for Legendre Polynomials is: p(x,h) = (1 - xh + h^2)^(-1/2) = h'Pi (x) Use this relation to show that Pi (1) = 1 for all. Show that: SOLVED: The generating function for Legendre Polynomials is: p(x,h) = (1 - xh + h^2)^(-1/2) = h'Pi (x) Use this relation to show that Pi (1) = 1 for all. Show that:](https://cdn.numerade.com/ask_images/839bee85bb2c4a779c6bde7a2d868fba.jpg)