Proof Arc
Question about integration proof !?
Question about integration proof !?
y = kcosh (x/k)
Show that the surface area generated when this arc is rotated through an angle of 2π radians about the y-axis is :
2π ( x sinh (x/k) – kcosh (x/k) ) + 2π k².
Can someone help me please?
Surface area, S = 2(pi)*INT[xsqrt(1+(dx/dy)^2)]dy
dy/dx = sinh(x/k) so dx/dy=1/(sinh(x/k))=csch(x/k)
x = kcosh^(-1)(y/k) = k*Ln[(y/k) + sqrt((y/k)^2 - 1)]
integrate between y=1 and y=infinity
hope that helps a bit…
Sony Ericsson Xperia Arc updates ROM to 2.3.3 – how I did it & proof Gingerbreak can’t root it
Tags: fire, from, proof, proof arc length formula, proof archimedean principle, proof archimedes principle, proof arcsin, proof arctan derivative, resistant, resscure
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