I need help with the following problem:
Consider the region T bounded by x=(y^3)+3, x=45-y,y=1, and y=3.
I am allowed to use the shell or washer method, whichever works.
a.) I need help setting up an integral required to find the volume of the solid obtained by revolving the region T about the line y=-1.
b.) I need help setting up an integral required to find the volume of the solid obtained by revolving the region T about the line x=50.
I only need help figuring out how to set up the integrals. Thanks to anyone who can help.
Help setting up integral involving shell/washer method?
a) is a ' 2 蟺 radius height thickness%26quot; problem over y in [ 1,3], radius is [y -(-1)] , height is [(45-y) - ( y^3 + 3) ], thickness is dy
b) is a %26quot; 蟺 [ large radius 虏 - small radius 虏 ] thickness
%26quot; problem , y in [ 1 , 3]....large radius is %26quot; 50 - (y^3 + 3) %26quot;and small radius is
%26quot; 50 - ( 45-y) %26quot;, thickness is dy
