Find f from this information f'(x)=ax+b, f(2)=0

[ggcflo]

Homework Statement

find f from this information f'(x)=ax+b, f(2)=0

Homework Equations

The Attempt at a Solution

if you integrate f'(x) treating a and b as constants you get f(x)= ax^2/2 + bx
and if you substitute f(2) you get 2a+2b. that's all i could get... don't know how you could use f(2)=0 in this problem :( help please.

 

[Office_Shredder]

if you integrate f'(x) treating a and b as constants you get f(x)= ax^2/2 + bx

You forgot the constant of integration

If this is the whole problem, they don't give you enough information to fully solve for a single f(x) so there will be more than one right answer