实际上,如果(x)=∑4/()且∫8(x)=∑4g(x), i=0 则令:F(x)=a/f(x)+Bg(x),那么: f(x)=(()+g()=()+ =a∑Af(x)+B∑Ag(x) i=0 ∑4(af(x)+B8(x) ∑AF(x) 44 实际上，如果 0 ( ) ( ) n b i i a i f x dx A f x =  =  且 0 ( ) ( ) n b i i a i g x dx A g x =  =  ， 则令：F x f x g x ( ) = +   ( ) ( )，那么： ( ) b a F x dx  ( ( ) ( )) b a = +   f x g x dx  ( ) ( ) b b a a = +   f x dx g x dx   0 0 ( ) ( ) n n i i i i i i   A f x A g x = = = +   ( ) 0 ( ) ( ) n i i i i A f x g x   = = +  0 ( ) n i i i A F x = = 