Question

surface area integration

Answer 1

\[y=2\sqrt{x+1} for 1 \le x \le 10\]

Answer 2

I used\[S= \int\limits \sqrt{ 1+(f'(x))^{2}}\]\[y'=\frac{ 1 }{ \sqrt{x+1} }\]

Answer 3

\[S= \int\limits \sqrt{1+\frac{ 1 }{ x+1 }}dx\]

Answer 4

I'm not sure how to proceed from here

Answer 5

I see what I did wrong I am using the arclength equation for surface area