I need help with this specific problem:
y = (1/4)x^4+(1/8)x^2, 1 ≤ x ≤ 2 rotated about y-axis. Compute the surface area.
I've done the work but I can't seem to integrate the problem to get the surface area. I can't figure out anyway to integrate this integration.
pi/2 ∫ x (sqrt(16x^6+8x^4+x^2+16))dx
This is what I am left with and I think there is no way to integrate this unless I am wrong.
y = (1/4)x^4+(1/8)x^2, 1 ≤ x ≤ 2 rotated about y-axis. Compute the surface area.
I've done the work but I can't seem to integrate the problem to get the surface area. I can't figure out anyway to integrate this integration.
pi/2 ∫ x (sqrt(16x^6+8x^4+x^2+16))dx
This is what I am left with and I think there is no way to integrate this unless I am wrong.
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