I'm fed up with solid revolutions and shapes. I've tried examples and it's not helping with the particular problem I'm trying to solve.
Here it is:
Use the washer method to compute the volume of the solid obtained by rotating the region bounded by the curves y = 1-X^(2), y = 0
A (about the x axis)
This is what I came up with, inner radius= 1-0x, outer radius = 1-(1-x^(2)) or x^(2) when calculated out.
so... A(x) =pi (x^(2)+0)^(2)-(1-0x)^(2)) ==== pi integrated on bounds of -1 to 1(x^(4)-1)dx ===== turns into (1/5^(5)-1x) when I take the anti derivative. I put in 1 and -1 doing fundamental theorem of calc and end up with 5.026548.
Is this even close?
There is another problem that is on my sheet. The only variation is instead of y=0, it has y=-1 instead.
If anyone could help me with solids of revolution it would be GREATLY appreciated. I passed calc I with a B, but I am having quite a lot of trouble right now with this class, I am trying my butt of and no matter what it feels like my efforts aren't good enough. I almost don't know what to do......