Help with integration problem.

[hard_assteel]

Homework Statement

find volume of y=4(x)^(.5) y=x, it revolves about x=17
here is my work
pi integral 0-16 (17-4(x)^(.5))^(2)-(17-x)^(2)
simplified and integrated too;
pi integral 0-16 {(50/2)x^2-(1/3)x^3-(272/3)(x)^(3/2)}
my definite integrated answer was
-768pi, but it is wrong

any help would be appreciated
thank you

Homework Equations

piR^2

The Attempt at a Solution

 

[badphysicist]

I didn't check your work very thoroughly, but I can tell that you're missing a term in your second equation so you might want to recheck your expansion and integration steps. You should have a number times x in there if you wrote your first equation correctly. Also, you might want to look at the posts on how to use LaTeX. It makes your work a lot easier to read.

 

[moemoney]

Are you trying to do it with the method of shells or discs? I couldn't follow your steps towards the solution. Try declaring your boundries/equations before starting on a solution.