Using Simpsons rule n10 find the area of the surface obtaine

Using Simpson\'s rule n=10, find the area of the surface obtained by rotating the curve
y=x+sqrt(x), 1 less than or equal to x less than or equal to 2, about the x-axis.
Include at least five decimal places in your answer.
Area=
I got S=2? ? (x + ?x)?[2 + 1/?x + 1/(4x)] dx (from x=1 to 2).
Area = 27.68876 and it is wrong. help?

Solution

I am getting the same one as well, might be something wrong in understanding the question
Using Simpson\'s rule n=10, find the area of the surface obtained by rotating the curve y=x+sqrt(x), 1 less than or equal to x less than or equal to 2, about th

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