cscott
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Homework Statement
Find the volume of the solid which is obtained by revolving the discs (x - 1)^2 + y^2 \le 1
The Attempt at a Solution
I say using cylinders would be easiest so,
\int_a^b{2\pi r(x)h(x) dx} = \int_0^2{2\pi x\sqrt{1-(x-1)^2} dx}
Any hints on how to get started with this integral?
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Homework Statement
Find the arclength of the curve y = e^x with 0 \le x \le ln 2
The Attempt at a Solution
y' =e^x
so I need to solve
\int_a^b{\sqrt{1+(y')^2}dx} = \int_0^{ln 2}{\sqrt{1+e^{2x}}dx}
Any hints?
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