Hey, I got an even number from my book trying to double check it so if you wouldn't mind I would appreciate some comfirmaion or denial.
Find the volume of the solid obtained by rotated te region bounded by the given curves about the specificed line.
y = x, y =0, x =2, x =4 : about x = 1
I set up this integral
I = ∏∫ dy - ∏(1-y^2)^2 dy
I did this integral between [0,1]
The Attempt at a Solution
I got ∏( y-(y^5/5) + (2/3)y^3 - 1)
I worked it out and got (7/15)∏
Yes no maybe so ?Thx