Finding the Function and Constant in a Calculus Integration Problem

[Integral8850]

Homework Statement

Find function f(x) and constant a such that,

6 + integral f(t)/t^2 dt = 2x limits of integral are a...x

Homework Equations

I am not quite sure how to approach this problem? What area of a calculus text would this type of problem be in?

Thanks in advance!

The Attempt at a Solution

 

[Pengwuino]

What are the limits of integration?

 

[Integral8850]

the limits are, a to x

 

[Zhivago]

if f(t) = 2 t^2, it seems you'll get the answer

 

[vela]

You want to get f(t) out of the integral so you can solve for it, and to get rid of integrals you differentiate. You'll need to use the fundamental theorem of calculus.