C3-16-16.1, 16.2 Intro to Double Integrals A common application of double integrals is to use them for: 2 Calculus 1 Review: Area of a Region Between 2 Curves: The Iterated Integral Version of Area Between 2 Curves: 2 Vertically Simple Regions Versus Horizontally Simple Regions: Region is bounded by 1 a≤ x ≤ b and 8, (x) Sv≤8,(x) R a AT Area = LLdy (dx 8,(1) Vertically simple region page 2 Careful! Order of integration is important! dydx is: simple _simple dxdy is: x Region is bounded by c≤ y ≤ d and h₁(y) ≤x≤h₂(y) AREA OF A REGION IN THE PLANE 1.) If a region R is defined by: 2 R = = {(x, y): a≤x≤ b, g₁(x) ≤ y ≤ g₁(x)} where g₁ and g₂ are continuous on [a, b], then the area of the R is: d R 1) Ay A = 2.) If a region R is defined by: 2 (vertically simple) R = {(x, y): c≤ y ≤ d, h₁(y)≤x≤h₂(y)} where ½ and ½ are continuous on [c, d], then the area of the R is: h₁ Area = d h₂(y) h₁(1) IF dx (dy) Horizontally simple region 11, Χ 153 A (horizontally simple)

Find area btw regions

Find area of region x = 45 − 5y2,  x = 5y2 − 45

Q6) (a) Sketch the region between the given functions (curves): y=2x and y=x y=x² (b) Calculate the area between the given functions (curves): y=2x and y=x.

asA COVID-19 Mitigatin. * Science and techno.. G what is product dev.. 6 Republic of the Phil.. COSRX Salicylic Aci. O Republic of the Phil Question 10 Textbook e Videos [+] Estimate the area between the x-axis and the graph of f(x) = 9- 1 over the interval (0, 3] by using the three rectangles shown here: 101 Question Help: D Video i DVideo 2 Message instructor Check Answer Type here to search 近

Find the area of the shaded region. 40 Area = 3 نیا 8 7 6 5 3 2 1 x = 1/2* (y-3)^2 2 (2,1) 3 y = x - 1 6 (Click on graph to enlarge) (8,7) 8

Find the area of the region bounded by y = 9x2 and y =√(3x)

Find the points of intersection of the graphs of the functions y = (x − 4)³ and y = 6(x − 4) 4,8,0 Then find the area bounded by the two graphs of y = (x-4)³ and y = 6(x-4) Area =