Volume of Solid using cross sections

  • Thread starter BigJon
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  • #1
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Homework Statement


Find the volume of a solid whose base bounded by y=x+1 and y=x^2-1, with cross section of a square perpendicular to x-axis


The Attempt at a Solution


So i set up the problem like this delta volume= y^2*delta x, that being the area of the square where i get loss is that im supposed to subtract the curves from one another but dont know if its setup like this:

integral from -1 to 2 ((x+1)-(x^2-1))^2 dx or ((x+1)^2)-((x^2-1)^2) dx, from here i know how to do the rest

Homework Statement





Homework Equations





The Attempt at a Solution

 

Answers and Replies

  • #2
Dick
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What do you think the length of the side of the square is for a given value of x? Then what would be the area of that square?
 
  • #3
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Haha thanx, now that you put it that way :)
 

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