Sketch the region whose area is given by the definite integral. (8-1x1) dx -5 -5 Need Help? 2 Read It y 6 4 2 Use a geometric formula to evaluate the integral. 5 Watch It 5 -5 -5 6 y 10 8 4 2 5 5

Q: Find the area of the region bounded by the graphs of the equations. f(x)=sin 2x, g(x) = cos x,-17…

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

Q: 2 x= y -9 /x=e -10 -8 -6 -2 2 4 Hy = -1 2.

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Q: Find the area between the graph of y= - 9x³ and the x-axis on the interval [-2, 2]. Write the exact…

A: Given the graph of y=-9x3 and the x-axis on the interval -2, 2.

Q: Consider the following. f(x) x(x2 – 11x + 35) - g(x) = x²

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Q: 23. Find the area bounded by r? = 81 cos 20. A. 81 sq. units C. 64 sq. units B. 100 sq. units D. 121…

A: Given : r2 = 81 cos 2θ.   To find the area bounded by r2 = 81 cos 2θ.

Q: 49 x dx -7

A: answer is in next step

Q: Find the area of the region that is enclosed between y = 11x? – 2³ + x and y = x? + 25x. The area is…

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Q: Find the area of the region between the curves y = sin(лx/2) and y = x. Area between curves = 0

A: For given region we have to find the area.  The graph is given as:

Q: |(2x – 6x2 – 2x + 5) dx

A: Given:          ∫2x3-6x2-2x+5dx      =∫2x3dx-∫6x2dx-∫2xdx+∫5dx    taking constant out…

Q: Find the area of the region enclosed by the two functions y = 7x² and y = a² + 6. Area =

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Q: 6x2 + 4x +4 d.x (x +2)(x² + 1) Evaluate the integral |

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Q: Find the area between the graph of y = -7x³ and the x-axis on the interval [-2, 2]. Write the exact…

A: Note that the area the graph of y=f(x) and the x-axis on the interval [a,b] is given by the integral…

Q: Completing the square Evaluate the following integrals.

A: Given integral is,∫dx3-2x-x2

Q: 1. Find the area bounded by the parabola x² – 2y = 0 and x² + 2y = 8. %3D

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Q: Find the area of the shaded region. y y=8x-r 15 (6, 12) 10 A y=2x 2 4 6 Step 1 To find the area…

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Q: Find the area of the region that is enclosed between y = 6x² – 2³ + ¤ and y = z² + 5z. The area is

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Q: 127 = 2x - 4x, and y = 0 where x and Find the area of the region bounded by y = x, y y are measured…

A: Given the curves:

Q: 7.) Find the area of the region bounded by the graphs of the equation given below. 2 y = (x - 2)²…

A: (.)   Area of the region bounded by the graph of  y=x-22 and  y=4-x2  . Then area is given by ,…

Q: Find the area of the shaded region. -3 Am -1 y 3 x=y²-2² -3 y = 1 x = e 1 2 y = -1 3 4 X

A: Area of bounded region is calculated using double Integration is shown in next step