# What is the surface area of the solid created by revolving f(x) = 1/(x+e^x) , x in [3,4] around the x axis?

Apr 20, 2018

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#### Explanation:

the surface area produce from revolving =volume

these is the sketch of function

these is the are area wanted to calculate between x=3 and x=4

the volume produced from revolving the surface area between x=3 and x=4 is calculated by ;

$v = \pi {\int}_{3}^{4} {\left[f \left(x\right)\right]}^{2} \cdot \mathrm{dx}$
Then complete the steps normally.