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given the slope of the curve at the points x=1,2,3 slope of the curve f(x)=f1(x) f1(1)=1/root3, f1(2)=root3, f1(3)=1 let f1(x)=t then f11(x)dx=dt [ ]  [ ] f1(x)f11(x)dx=[ ][ ] tdt within the limits 1to3=t2/2 with in the limits 1 to 3 =1/2(1-1/3)=1/3 [ ] [ ] dt=t with in the limits 2to 3=1-root3 1/3+1-root3=4/3-root3 f1(x) is derivative of f(x) if there is any doubt in any part ask me
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