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?

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Answer 1 · 2018-04-20T15:33:05

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the surface area produce from revolving =volume

these is the sketch of function

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

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

#v=piint_3^4[f(x)]^2*dx#
Then complete the steps normally.