Find the area of the shaded region 1.8 1.6 14 1.2 0.8 0.6 0.4 0.2 02 0,4 0.6 08 1.2 14 bounded above by y = 2, bounded below by y = cos(x) + 1, and wi x E z (,5]. 2
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![Find the area of the shaded region
14
12
0.8
0.6
04
02
02
0.4
0.6
12
bounded above by y = 2, bounded below by y
cos(x) + 1, and with
x e (0,
zE [0, 5].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F111bc562-b524-4226-a8e4-b5abc1e40198%2F6f75a6ac-1613-4ac0-aa4e-9820405bab03%2Fbk843nv_processed.png&w=3840&q=75)
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- Find the area between y = (3 + x2)e2x and the x-axis from x = 0 to x = 1.Suppose that 0< c < π/2 . For what value of is thearea of the region enclosed by the curves y= cos x,y= cos (x -c), and x=0 equal to the area of the regionenclosed by the curves y= cos(x- c) , x =π , and y=0 ?Sketch the region enclosed by y = e 3 x y = e 3 x , y = e 8 x y = e 8 x , and x = 1 x = 1 . Decide whether to integrate with respect to x x or y y . Then find the area of the region.
- Find the area of the region described. The region bounded by y=e^x, y=e^(−4x), and x=ln 4Set up the definite integral that gives the area of the region. y1 = x2 + 2x + 2 y2 = 2x + 112. Find the area of the region bounded by the curve y = x^3 − 2x^2 − 5 x + 6, the x-axis, and the lines x=-1 and x=2.
- 1)Sketch the solid obtained by rotating the region bound byy=2√x and y=x, about the line x =−2. 2)Write the expression for the area of a representative washer 3)Set up and solve the definite integral used to calculate the volume of the solid in (1)Set up the definite integral that gives the area of the region. y1 = x2 − 2x y2 = 0