1 / 13

Area of a Region Between Two Curves

Area of a Region Between Two Curves. Recall. Points of Intersection: y = x 2 - 2x and y = 7x - 8 Evaluating definite integral: x 2 from 1 to 3 Even and Odd Functions and Integrals: x 2 from -2 to 2 u-substitution: integral of xe x 2 -3 Looking up values on unit circle: sin (¼ π )

megara
Télécharger la présentation

Area of a Region Between Two Curves

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Area of a Region Between Two Curves

  2. Recall • Points of Intersection: y = x2 - 2x and y = 7x - 8 • Evaluating definite integral: x2 from 1 to 3 • Even and Odd Functions and Integrals: x2 from -2 to 2 • u-substitution: integral of xex2-3 • Looking up values on unit circle: sin (¼π) • Solving trig equations: sin x = ½ • Integral of 1/x or 1/u

  3. 1. Set up the definite integral that gives the area of the region (similar to p.454 #1-5)

  4. 2. Set up the definite integral that gives the area of the region (similar to p.454 #1-5)

  5. 3. Set up the definite integral that gives the area of the region (similar to p.454 #1-5)

  6. 4. The integrand of the definite integral is a difference of two functions. Sketch the graph of each function and shade the region whose area is represented by the integral. (similar to p.454 #7-13)

  7. 5. Find the area of the region by integrating a) with respect to x and b) with respect to y (similar to p.454 #17)

  8. 6. Sketch the region bounded by the graph of the algebraic functions and find the area of the region (similar to p.454 #19-35)

  9. 7. Sketch the region bounded by the graph of the algebraic functions and find the area of the region (similar to p.454 #19-35)

  10. 8. Sketch the region bounded by the graph of the algebraic functions and find the area of the region (similar to p.454 #19-35)

  11. 9. Sketch the region bounded by the graph of the algebraic functions and find the area of the region (similar to p.454 #19-35)

  12. 10. Sketch the region bounded by the graphs of the functions, and find the area of the region (similar to p.454 #47-51) NEXT

  13. 11. Sketch the region bounded by the graphs of the functions, and find the area of the region (similar to p.454 #47-51)

More Related