The upper boundary follows until its intersection with at , then follows the hyperbola to . The lower boundary is . Therefore the two vertical-slice descriptions are , , and , .
Figure 1.
The integration region below a line and a hyperbola
. Original shaded region with all four boundary pieces shown. Vertical slices change their upper endpoint at . Details.
Integrating with respect to first reduces the double integral to
(1)
Using the antiderivatives from part (a),
(2)

Ancestors (13)

  1. b
  2. 5
  3. Paper 1
  4. 2002
  5. Past exam of the mathematics course of the year 1 of the natural sciences course of the University of Cambridge
  6. Mathematics course of the year 1 of the natural sciences course of the University of Cambridge
  7. Year 1 of the natural sciences course of the University of Cambridge
  8. Year of the natural sciences course of the University of Cambridge
  9. Natural sciences course of the University of Cambridge
  10. Course of the University of Cambridge
  11. University of Cambridge
  12. List of universities
  13. Home

View article source

Discussion (0)

New discussion

There are no discussions about this article yet.

Articles by others on the same topic (0)

There are currently no matching articles.
See all articles in the same topic Create my own version