- 8

- 0

Question:find the volume using CROSS SECTIONS that are squares.

base is bounded by

y = x + 1

y = x squared - 1

cross sections are squares

perpendicular to the x axis

I know to use the area = side squared due to it being a square

I set the 2 equations equal to find the integral goes from -1 to 2

I took the top minus bottom to get equation of (x + 1 ) - ( x squared - 1)

which becomes all squared due to the definition of area of a square

so I get x^4 - x^3 -2x^2 -x^3 +x^2 +2x -2x^2 +2x +4

then I combine like terms and integrate?

I don't get the answer

answer should be 8.1 it says.

thanks in advance.