Help with weird shell method problem

[bringinghugsyback]

The problem asks to x^4 and 4-3x^2 across the x-axis. I keep on getting the wrong answer with this problem.
I know you have to variables in terms of y and that you have to use two integrals to solve the equation, but could someone check if my answer is correct. I got 43 for my answer.

 

[Deleted member 4993]

The problem asks to x^4 and 4-3x^2 across the x-axis. I keep on getting the wrong answer with this problem.
I know you have to variables in terms of y and that you have to use two integrals to solve the equation, but could someone check if my answer is correct. I got 43 for my answer.

Please post the EXACT problem along with your work.

As posted, I cannot figure out the question!