Volume of Solid of Revolution; Simpson's Rule

[kap1]

1.find tthe volume solid generated by revolving the region bounded y=sqrt x and the ;lines y=1, x=4 about the line y=1

2. using simpson rule witj n=4 to approximate int from 0 to 1 1 over 1-x power 2 dx

 

[Ackbach]

1. Can you draw a picture of the region? Can you visualize how the region is being rotated?

2. So you're approximating $\displaystyle \int_0^1 \frac{dx}{(1-x)^2}?$ Is that correct? If so, how do you set up a Simpson's Rule?