9 FURTHER APPLICATIONS OF INTEGRATION
9 FURTHER APPLICATIONS OF INTEGRATION
9 FURTHER APPLICATIONS OF INTEGRATION
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GROUP WORK 2, SECTION 9.2<br />
Mind Your p’s and q’s<br />
1. Show that if p > 1, then the surface formed by rotating y = 1/x p , x ≥ 1 about the x-axis has finite area.<br />
2. Show that if 0 < q < 1, then the surface formed by rotating y = 1/x q , x ≥ 1 about the y-axis does not<br />
have finite area.<br />
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