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Area Between Two Curves

How do you find the area between two curves?. Area Between Two Curves. What is the area underneath the curve of from to ?. What is the area underneath the curve of from to ?. What is the area between the curves of and from to ?. Area between two curves:. When .

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Area Between Two Curves

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  1. How do you find the area between two curves? Area Between Two Curves

  2. What is the area underneath the curve of from to ? What is the area underneath the curve of from to ? • What is the area between the curves of and from to ?

  3. Area between two curves: When

  4. Example 1 Find area of the region bounded by the graphs of and between and .

  5. Example 2: Region between two intersecting graphs. Find area between and . Find where the graphs intersect. Since between

  6. If curves intersect at more than one point.

  7. Horizontal Area • Sometimes it will be more convenient to find the area of a region by differentiating with respect to y instead of x.

  8. -Setup your integral from bottom to top and use the y values instead of the x values. -You will integrate (right function – left function).

  9. Integrate this same function using . You must divide the integral into two parts.

  10. Summary • Non-Intersecting Graphs • Intersecting Graphs • Graphs with Multiple Intersections • Finding Area Horizontally

  11. Homework Area Between Curves Section 7.1 (1-23 odd, 27, 29) (omit 11) *For 13-21 odd, set up on paper but you may use your calculator to integrate.*

  12. DELETED SLIDES

  13. Example 2: Region between two intersecting graphs. Find area between and . Find the points where graphs intersect and integrate from the x value of the left intersection to the x value of the right intersection.

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