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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 )

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Area of a Region Between Two Curves

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  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)

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