- #1
cathy
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Homework Statement
Find the volume generated by revolving one arch of the curve y = 5 sin(x) about the x-axis.
The attempt at a solution
So I figured this would create a disc so I would have to use that the volume is ∏r^2 where r=sinx, r^2= (sin(x))^2 and that the way I should set this up is as shown:
5∏∫[sin(x)]^2 from 0 to pi. And then I would replace that with the trig identities and so on. However, this is not giving me the correct answer. Is this integral wrong?
Find the volume generated by revolving one arch of the curve y = 5 sin(x) about the x-axis.
The attempt at a solution
So I figured this would create a disc so I would have to use that the volume is ∏r^2 where r=sinx, r^2= (sin(x))^2 and that the way I should set this up is as shown:
5∏∫[sin(x)]^2 from 0 to pi. And then I would replace that with the trig identities and so on. However, this is not giving me the correct answer. Is this integral wrong?
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