Find the area enclosed by y = x^4 − 4x^2 + 4 and y = x^2 within −1 ≤ x ≤ 1.

Q: Find the total area bounded by y=x^3-3x+2 and y=x+2.

A: Definite integration is one of the methods that can be used to obtain the area bounded by two…

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

A:

Q: Solve for the area between y = x² – 8 and y = x from x = -2 and x = 2.

A: The formula to find the area between the curve f(x) and curve g(x) on an interval [a,b] is given…

Q: Find the area under the curve 4x²-3x+6 between x = -2 and x=3

A:

Q: Find the area under the graph of y = 1/x^2for x ≥ 2.

A: The equation for the curve is y=1x2Area under the graph of y=1x2 for x≥2 is A=∫2∞1x2dx   =limc-∞…

Q: Find the area bounded by the curve y = 62xe-62x and the x axis from x =0 to x = 4

A: Area bounded by the curve y=f(x) and x-axis from x=a to b is given as, ∫abf(x)dx Some common…

Q: The area bounded by y = x2 + 5 and the caxis from x = 0 to a = 5 is

A: given, and the x-axis from x = 0 to x = 5 we have to find area bounded by .

Q: Find the area bounded 1. 2x2 +4x+y=0,y=2x

A: According to bartleby guidelines when student post more than one question then expert must have to…

Q: Find the area beneath the curve g(x) = 8x + 3x2 from x = 5 to x = 6

A: Given function is,

Q: What is the area under the curve y = x° and above the x-axis between x = 1 and x = 3? What is the…

A: We have to use integration here.

Q: find the area bounded by the following curves and lines  y = 3x/square root of x+4  where y = 0 and…

A: The given region are: y=3xx+4, y=0, x=4

Q: What is the area enclosed between the graphs of X 4 and x = y² – 5?

A: Area between two curve

Q: 4. Find the area bounded by the curves y = 2x – x2 and the x-axis

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Q: What is the area under the curve of the following positive function y = 10x4 + 3x² between x = -1…

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Q: Estimate the area under the graph of f(x)=x^2+4x from x=4 to x=7 using 3 approximating rectangles…

A:

Q: Find the area between the curves. x = -2, x = 1, y = 2x, y = x2 - 3

A: Given curves,  y = 2x y = x2 - 3 x = -2 x = 1 To find the area enclosed.

Q: What is the area between y = 0, y = 3x2, x=0, x = 2?

A:

Q: Solve for the area bounded by y = 2x - x2 and the x-axis.

A:

Q: Estimate the area under the graph of f(x)=x^2+4x from x=1 to x=5 using 4 approximating rectangles…

A: The given graph of the function is f (x) = x^2+4x from x = 1 to x = 5.The number of triangles is…

Q: Find the area bounded by the given curves, axes and/or lines 3. y=9-x^2, y=x+3

A:

Q: Find the area under the curve y=2x6y=2x6 over the interval [0,3][

A: Solution

Q: Find the area bounded by the graphs of y = 3x2; x = 0; x = 2; and the x axis.

A: Given,

Q: Find the area between y =x+2 y = -2x+4 y = (2-x)/2

A: equation  at x=0 at y=0 y=x+2 y=2 x=-2 y=-2x+4 y=4 x=2 y=(2-x)/2 y=1 x=2 here we need to…

Q: Find the area included between x2+ y2= 4x and y2= x above x-axis

A: Find the area included between x2+ y2= 4x and y2= x above x-axis

Q: Find the area under each curve over the indicated interval. [4.3] 16. y = 6 - x²; [-2, 1] 17. y = x2…

A: 16. Therefore, area  A=∫-21ydx=∫-216-x2dx=6x-x33-21=6-13--12--83=173--12+83=173+283=453=15…

Q: What is the area under the curve of the following positive function y = 10x4 + 3x2 between x = −1…

A: Given: y = 10x4 + 3x2 between x = −1 and x = 2 Area=∫-1210x4+3x2dx         =∫-1210x4dx+∫-123x2dx…

Q: Find the area between y = (x - 3) eX and the x-axis from x = 3 and x 9.

A: Give that

Q: Find the area bounded by y2  = 4x and 2x - y = 4.

A:

Q: the area between the curves x^(2) and x^(4)

A:

Q: find the area enclosed by the graphs in two ways: by integrating along the x-axis and by integrating…

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Q: Find the area under the graph of y = (x + 1)^-2for x ≥ 0.

A:

Q: Find the area between the curves x=63-7y^2 and x=7y^2-63

A: Here two curves are given and we need to find the area between them. The curve equations are shown…

Q: Find the area between y=ln(x-6) and y = (ln(x-6))2

A:

Q: Find the area enclosed by the curves x = -2, x = 3, y = 3x2 - 70, and y = 12x + 26.

A: Consider the area enclosed by the curves x = -2, x = 3, y = 3x2 - 70, and y = 12x + 26.

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

A:

Q: What is the area of the region between y=x^2-2x-3 and the x-axis from x-0 to x=6?

A: Given,      y= x2-2x-3and the x-axis  from  x=0 to x=6.

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 between the curves.    x = - 5, x = 1, y = 10 x, y= x 2 -11

A:

Q: Find the area bounded by y = x^4 and the x-axis from x = -2 to x = 2

A:

Q: Find the area bounded by the curve y = 63xe 63x and the x-axis from x = 0 to x = 4. %3D

A: To calculate Area bounded by curve y = 63xe-63x We need to use the method of integration to…

Q: y = 2x ,2 y+ 4x – 8 = 0

A:

Q: Find the area between the curve and the x axis over the indicated interval. Y=4-x square; [-2,2|

A: Given: Y=4-x2 to find out: area between the curve and the x -axis over the interval [-2,2]

Q: Find the area of the region that is enclosed between y=4x^2-x^3+x and y=x^2+3x.

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Q: Calculate the area under the curve y between x = 2 and x 8. %3D

A: Since you have posted multiple questions therefore we will answer the first one for you. If you want…

Q: find the area between y=2x2+9x-5 and y=-X2+6x+1 for x in (-2,2)

A: The given curves are,

Q: Find the area bounded by the curves y - x² = -3,x+y = 3 and y = 0.5x.

A:

Q: Find the area under the curve for y = 3x over the interval [2,5).

A: The given curve is y=3x2

Q: Find the area bounded by x2 − 6x+ y = 0 and x2 − 2x − y = 0.

A:

Q: Find the area bounded 1. 2x2 + 4x + y = 0,y = 2x

A: Sketch the region

Q: Find the area bounded by the curve y=10+4x+x^2 and x-axis from x=-3 to x=-1.

A: