7.2 - Areas in the Plane

Using integrals to find weird areas bounded by 2 or more functions. We can use a vertical or horizontal approach to do this.

• Use vertical when:
  • Formulas easier to keep in y = form
  • Clear which function is on top/on bottom
• Use horizontal when:
  • Formulas easier to keep in x = form
  • Clear which function is on right/left
• Answers will be the exact same regardless of what was done
  Sometimes more than the difference of two integrals will be needed – this happens when the “top” and “bottom” functions switch places.