The problems wants you to find the surface area not the length of the curve.
Good morning,
I left off on this problem yesterday. I am given:
Find the surface area by revolving around the x-axis:
for
So far I have the following:
So...
And... I'm stuck.
I don't now why roots are giving me so much trouble lately. Is there something that I have forgotten or seem to be missing? I don't recall roots being this problematic.
Becareful, you are multiplying the dS (which is ) not the length of the curve!
For your question, you will multiply the dS by if the revolution about the x-axis.
and you will multiply it by if the revolution about the y-axis.
So the required surface area is:
Can you solve it?