Calc keep getting this marked wrong:(

Find a function f(x) such that f'(x)=8x^2+5  and f (0) =1

 

You are looking for the antiderivative of f'(x)

 

The antiderivative of x²  is  x³/3,  that of x⁰ is x¹/1  (Note that x⁰ is just 1 and x¹/1 is just x).  

 

So f(x) = 8x³/3 + 5x + k  where k is a constant to be found by using the fact that f(0) = 1.