Primitive of a definite integral

[PeteSampras]

Homework Statement

I need find the function $F(x)$ .

Homework Equations

$\int_0^r F(x)dx = \frac{r^3}{(r^2+A)^{3/2}}+N$

where $A,N$ are constants.

The Attempt at a Solution

I tried using some function of test, for instance the derivative of the right function evaluated in x. But , i don't know how to solve this problem.

 

[Buzz Bloom]

Hi Pete:

What is the relationship between a differential and an integral? What did you get as the derivative of RHS? How does this relate to F(x)?

Hope this helps?

Regards,
Buzz