Answers

Find the volume of the solid formed by revolving the given region about the given line

1. y = x² - 3x + 2, y = 0 about the y-axis:   p/2
   

2.  y = x² - 7x + 6, y = 0 about the y-axis:  875p/6
   

3. x = 1 - y² , x = 0 (first quadrant) about the x-axis:  p/2
   

4. y = xsqrt(1 + x³), y = 0, x = 2 about the y-axis:  104p/9
   

5. (x - 1)²  + y²  = 1 about the y-axis:  2p²
   

6. x²  + (y - 1)²  = 1 about the x-axis:  2p²
   

7. y  =  x² - 2x + 1, y = 1 about the line x  =  3:  16p/3

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