Write the integral representing the area of the surface obta
Write the integral representing the area of the surface obtained by rotating the curve
y=e^x , 1 less than or equal to y less than or equal to 2, about the y-axis
please show work , thank you
y=e^x , 1 less than or equal to y less than or equal to 2, about the y-axis
please show work , thank you
Solution
when y=1, x=0
when y=2, x=ln(y)=ln(2)
20ln(2) x ds
=20ln(2) x sqrt(1+(y\')2) dx
=20ln(2) x sqrt(1+e2x) dx
