例计算积分 =JP(x)(x)(2+)(x)=P21(x)-B1(x) P(x)=P-2(x)+(2k-1)F-1(x) 24(x)+(2k-1)P-1(x)+(2k-5)23(x) B(x)+(2k-1)B1(x)+…+[2(k-2n-2)+1B-1(x)……· k+l 偶数=0(2 1) ( ) '( ) '( ) 1 1 l P x P x P x + l = l+ − l− '( ) '( ) (2 1) ( ) 2 1 P x P x k P x k = k− + − k− '( ) (2 1) ( ) (2 5) ( ) 4 1 3 P x k P x k P x = k− + − k− + − k−  例 计算积分  − = 1 1 I P '(x)P(x)dx k l k +l = 偶数 I = 0 '( ) (2 1) ( ) [2( 2 2) 1] ( ) 4 1 (2 1) P x k P x k n P x = k− + − k− ++ − − + k− n+