(1/3)[(a^2+a^2)^(3/2)-a^3]
you are correct we just need to simplify.
1. The problem statement, all variables and given/known data
Also, (A>0)
Firstly, I set
u=x^2+a^2
Then take the derivative,
du=2x dx
Now I integrated. So
(1/3) * [(x^2+a^2)^3/2] from a to 0.
I ended up with
(1/3)[(a^2+a^2)^(3/2)-a^3]
This is where I get lost. It must have something to do with the (A>0). The
answer in the book is:
(1/3)(2*sqrt(2)-1)a^3
I can't see how to eliminate the a's to get the (2*sqrt(2)-1).
Thanks for the help.