Intigration (volume of solids rotating about and axis)

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    Axis Rotating Solids
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SUMMARY

The discussion focuses on the integration of solids of revolution, specifically analyzing a solid bounded by the planes x=1 and x=-1. The cross-sections perpendicular to the x-axis are defined as circles with diameters extending from the curves y = -1/√(1+x²) to y = 1/√(1+x²), and vertical squares with bases defined by the same curves. This setup allows for the calculation of volumes using integration techniques relevant to calculus.

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jkw0002
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the solid lies between planes perpendicular to the x-axis at x=1 and x=-1 the cross-sections perpendicular to the x-axis are

A) circles whose diameters stretch from the curve y = -1/squrt(1+x^2) to the curve y = 1/squrt(1+x^2)

B)vertical squares whose base edges run from the curve y = -1/squrt(1+x^2) to the curve y = 1/squrt(1+x^2)
 
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jkw0002 said:
the solid lies between planes perpendicular to the x-axis at x=1 and x=-1 the cross-sections perpendicular to the x-axis are

A) circles whose diameters stretch from the curve y = -1/√(1+x²) to the curve y = 1√(1+x²)

B)vertical squares whose base edges run from the curve y = -1/√(1+x²) to the curve y = 1/√(1+x²)

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