hey guys...!! what is the volume of the solid when rotating the areas between y=(x^3)-x and the x-axis around the line x=1 ???

 

Hey Oussama,
Does the solid extend into infinity? At what points along \(y=x^3-x\) and \(x=0\) (if at all) does the solid end?

 

no boundaries were given for the integral , the function has x=1 and x=-1 as roots so i'm trying to figure if the shape generated will be from " -1 to 1"

 

hey guys...!! what is the volume of the solid when rotating the areas between y=(x^3)-x and the x-axis around the line x=1 ???

The bounds are definitely important and they are not at all obvious.

no boundaries were given for the integral , the function has x=1 and x=-1 as roots so i'm trying to figure if the shape generated will be from " -1 to 1"

What about the root at x=0?

I would recommend giving your answer in three parts. First, figure out the solid of revolution between each adjacent pairs of roots and then also give the sum of them. In addition, provide an explanation why you are using those limits as opposed to something even broader.

 

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