Finding a function (f) and a number a that satisfy the definite integral

Question: Find a function (f) and a number 'a' that satisfy the definite integral

Here is the integral: 6+∫[a,x,f(t)/t^2,t]=2sqrt(x) which comes out to http://www.mathway.com/math_image.as...B03?p=133?p=44

Can somebody please explain how to do this? i tried using the FToC parts 1 and 2, but i think im using them wrong here...

Thanks in advance!

Re: Finding a function (f) and a number a that satisfy the definite integral

Assume f is continuous. Then the derivative of is , which must then be -- I took the derivative of both sides of the equation. So . Now . Finally then implies or .