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March 29, 2015

March 29, 2015

Posted by **Megan** on Thursday, June 9, 2011 at 8:46pm.

1) Find the area of the region enclosed by the two curves;

2) Find the volume of the solid obtained by rotating the above region about the x-axis;

3) Find the volume of the solid obtained by rotating the above region about the horizontal line with

equation y = 1 .

- calculus -
**drwls**, Thursday, June 9, 2011 at 9:15pmThe region bounded by the two curves is between x = -1 and x = +1. Plot the two curves and you will see why.

1) Integrate (x^2 - x^4)dx from x = -1 to x = 1

2) Integrate pi*y1^2 - pi*y2^2 dx

= pi*(x^4 - x^8)dx from x = -1 to x = 1.

y1(x) = x^2

y2(x) = x^4

3) Integrate pi[(1 - y2)^2 - (1 - y1)^2]

dx from -1 to +1

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