Area of a Region Between Two Curves

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Section 7.1 – Area of a Region Between Two Curves

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Presentation transcript:

Area of a Region Between Two Curves

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

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

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

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

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)

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)

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)

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)

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)

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)

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

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