Let f(x)=2x^2 -4x+5.Suppose that F is an antiderivative of f such that

F(1)=10.Find F(x).

I think the anti derivative is as follows:

F=2∫x^2 dx -4∫x dx + 5∫1 dx

F=2.x^3/3-4.x^2/2+5.x+c

But when I plug in 1 in the F i.e F(1) ...I do not get 10 as given in the problem.Can somebody pls help me?