Consider the function f(x) whose second derivative is f''(x)=10x+4sin(x) . If f(0)=2 and f'(0) =4 what is f(2)?

f" = 10x + 4sinx

f' = 5x^2 - 4cosx + c
since f'(0) = 4, c =8

f = 5/3 x^3 - 4sinx + 8x + c
Now finish it off, using f(0) = 2 to find c
and then find f(2)