后面那方程不定积分得到a0x+(a1)(x*2)/2+...+an(x*n+1)/(n+1)+C=0
x=0带入得C=0,x=0时,a0x+(a1)(x*2)/2+...+an(x*n+1)/(n+1)=0,由已知条件x=1时,a0x+(a1)(x*2)/2+...+an(x*n+1)/(n+1)=0,有劳尔定理,结论成立.
后面那方程不定积分得到a0x+(a1)(x*2)/2+...+an(x*n+1)/(n+1)+C=0
x=0带入得C=0,x=0时,a0x+(a1)(x*2)/2+...+an(x*n+1)/(n+1)=0,由已知条件x=1时,a0x+(a1)(x*2)/2+...+an(x*n+1)/(n+1)=0,有劳尔定理,结论成立.