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Applications of integration : the line segment x=1-y , 0

Mathematics
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|dw:1339160052902:dw| S=pi.1.sqrt(2)
I am supposed to use integration to solve ,, for surface area \[s=2\pi \int\limits_{a}^{b} X dL\] but I guess we need to edit this equation to calculate the lateral surface area but I don't know what is it??
The area of the curved (lateral) surface of a cone = πrl I guess I'll remove the 2 from the equation right ? in order to calculate it

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Other answers:

hum, i dont remeber it
i will look in my calc book
I calculated it and figured out it is the same I misunderstood something Thank you the 2 pi in the equation is the revolution of the area it means it will revolve one complete revolution THANKS
|dw:1339161279772:dw|
Many Thanks @RaphaelFilgueiras
you are welcome

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