find area of a surface

Calculus
Tutor: None Selected Time limit: 1 Day

May 24th, 2015

S = integrate 2pi*x sqrt((dx/dy)^2+1)dy from 0 to 6

= integrate 2pi*(e^y+e^-y)/2*(e^y+e^-y)/2 dy 

=pi/2*{1/2 *e^2y-1/2 e^(-2y)+2y}|( y from 0 to 6)

=pi/4*(e^12-1-e^-12+1+24)

=pi/4{e^12-e^(-12)+24}

May 24th, 2015

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