A region is bounded by the curve y= v2 – x and the lines y = -x and the x-axis. The integral expression for the area of the region is

Q: 8. Find the area bounded by x² – 6x + y = 0, - x² – 2x – y = 0, and the x – axis.

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Q: Find the area of the region bounded by the curve y = xe-x and thex-axis from x = 0 to x = 4.

A: Area under curve = ∫aby dx

Q: Find the area of the region enclosed by the curves y - 2x =7 and x - y= 4. Set up the integral that…

A: Answer and explanation is given below..

Q: Write a definite integral for the area of the region bounded by y = 2 - x² and y = x2. Do not…

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Q: Find the area between the curves. x = -3, x = 0, y = 1 -x2, y = 0

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Q: Find the area of the region bounded by the X – axis, the lines x = 4 and x = 6 and the curve X – 1 A…

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Q: . Find the area bounded between the curves 5x-y x2 and y = 3x + x²

A: We have the given the curves y=5x-x2 and y=3x+x2 We have to find the area bounded by this two given…

Q: Determine the area bounded by the curves y = -x² – 18x + 63 and y = (x – 3)². |

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Q: 2. Find the area of the region bounded by the curve y = x^3 − 2x^2 − 5 x + 6, the x-axis, and the…

A: Given: y=x3-2x2-5x+6 For finding area of region bounded by given curve with x-axis and the lines…

Q: Find the area between the curves                                        y= x^3-x and y= x^2+x

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Q: . The region is bounded by X = y² and x = 4(y − 2)² Using horizontal rectangles, set – up the…

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Q: find the area of a region bounded by the curves y= x^3, y= x ln(x^2), x=1 and x=2

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Q: 2. Determine the area of the region bounded by the curve y = x3 – x2 – 2x, and а. the x-axis

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Q: What is the integral expression of the area of the region bounded by the curves x= y - y^2 and x =…

A: Area between curves

Q: 7. Find the area bounded by the curve y = 4x - x^2 and the lines x = 0 and y = 4.

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Q: Find the area bounded by the given curve and line. 1. y= -x^2 + 4 and y = x^2

A: To find: The area bounded by the curve. Given: The equation of curves are y=-x2+4 and y=x2. Concept…

Q: 1. Find the area of region bounded by the curves y = x² and line y=x. %3D

A: We have to determine area of region

Q: Sketch the graph of the curve y z (x-6)(x-7)(x-8) Shade the area of the region bounded by the curve,…

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Q: Show the set up of all definite integrals. Find the area of the region enclosed by the line y=2x-15…

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Q: The definite integral that calculates the area of the region enclosed by the curves y=4 - x² and y =…

A: Solution of the problem as follows

Q: Find the area bounded by the curve y = 2x + x² – x³, the x-axis and lines x = 0 and x = 1. %3D

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Q: What is the area bounded by the curves x = 1/y, 2x - y = 0, x = 6, and the x-axis?

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Q: Set up the integral representing the area of the region between the curves * = :-2, x = 3, y=x²-3,…

A: We have to find value of area of shaded Region.

Q: The area of the region bounded by the curves y=x and y= 20–x² is 5 A = I120-x²-x| dr -4 »4.4…

A: Given, The curves y =x  and y=20-x2  We have to find the area of the region bounded by the curves.

Q: The bounded by y= xx*+1, area of the region axis. y=x, x-- 3, and

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Q: Solve the area bounded by the curve (x – 2)2 = – ( y – 4) and the lines x = – 2 and y = 4.

A: We need to find the area bounded by the curve (x – 2)2 = – ( y – 4) and the lines x = – 2 and y = 4.…

Q: Sketch the region bounded by the graph of y= (½)x² + 1 and thex-axis between x =--2 and x= 4. Set up…

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Q: Find the area of the region bounded by the graphs of the functions y=9-x² and y=x+3.

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Q: Solve the area bounded by the curve x=y^2 and the line y=x+1, y=2, and y=-2. Graph manually.

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Q: Show the set up of all definite integrals. Find the area of the region enclosed by the line y=2x-15…

A: To find the area of the region between the line and parabola

Q: 8. Determine the area bounded by x = -y² + 4y and the y-axis.

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Q: area bounded between y=3x+2 and y=-x^2+2

A: here we have to find the area bounded between the curve y=3x+2......(1) and y=-x2+2x+4.....(2)

Q: Find the area bounded by the curve y = Vxe-VX and the x-axis from x = 0 to x = 4. %3D

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Q: 6. Find the area bounded by the curves of y = 6x + x² andy = -x² - 2x, and the linex = 5.

A: The equation of the curves are  C1: y = 6x+x2C2: y = -x2-2xC3: x = 5 To evaluate: The area of the…

Q: Find the area of the region bounded by the graph of the function y = the x-axis, and the lines x = 4…

A: Definition used-                 The area under the curve of a function f(x) is given by -…

Q: 3. Find the area bounded by the curve y 4sin(2x), the x-axis, and the lines x = 0 and x =

A: We have to find the area bounded by the given curves. We will find the area by the help of…

Q: Find the area of the region bounded by the curves: y=x^2+2x  and y=-x+4

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Q: Find the area bounded by the curve x²=y+2 and the line x+y=0

A: Integrals and derivatives are considered as the inverses of each other. For example If we integrate…

Q: Find the area of the region bounded by y=-x^2+3x+1 and y=-x+1

A: Please see the diagram below to understand what's going on:

Q: Find the area of the region bounded by the curves y= x2 x3−3x and y= 1 x3−3x on the interval…

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Q: Estimate the area under the curve  y=(x+5)2-2 on the interval from x=0 to x=4.

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Q: Find the area of the region bounded by y = (1/8)(-x2 + 6x + 7) and y = -6.

A: Solved below

Q: Determine the area bounded by the curves x^3 - y = 0 and y + 3x^2 - 4 = 0, using a vertical element.…

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Q: 1/ Find the area of the region bounded by the line y = 1- x and the curve x = 3 - y

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Q: Find the area of the region bounded by y=x²-1, x=2 and y=0. Use horizontal element and express area…

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Q: Find the area bounded by the curve y = 2 over (x - 3) and the lines y = 0, x = 4 and x = 5.

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Q: 2 x = 8 – y, x=y¯ - 8 ?, x =y² - 8

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Q: a of the region bounded by y=4x-x^2 and y=x

A: the area bounded by two curves f(x) and g(x) is given by ∫abf(x)-g(x)dx now  y=4x-x2 and y=x2-2x…

Q: By using horizontal element, the definite integral representing the area of the region bounded by x…

A: To calculate the area of the region first obtain the bounds of the region. This can be done by…