F(x):=

INT((x-y)*(x-y+h)*F''(y),y,x,x+h)/(2*h^2)

[V(y):=(y-x)*(y-x-h),U(y):=DIF(F(y),y,1)]

INT(V(y)*DIF(U(y),y),y,x,x+h)=V(x+h)*U(x+h)-V(x)*U(x)-INT(U(y)*DIF(V(y),y),y,~
x,x+h)

;Simp(User')
INT((x-y)*(x-y+h)*F''(y),y,x,x+h)=(2*x+h)*F(x+h)-(2*x+h)*F(x)-2*INT(y*F'(y),y~
,x,x+h)