Not quite. You are trying to integrate .
If you let then AND .
So the integral becomes
Go from here
I am wondering if I did this correctly.
Integrate
x square root(2x+1)
u=2x+1 x=(1/2)(u-1)
(1/2)(u-1) square root(u)
(1/2) (u)^(3/2)-(u)^(1/2)
(1/2) (2/5)(u)^(5/2)-(2/3)(u)^(3/2)
(2/10)u^(5/2)-(2/6)(u)^(3/2)+c
Any help would be appreciated on this difficult topic.