Compute the area of the region bounded by the curves y = Vx and y = x

Q: Find the area of the region between the curve y 4 In x and the horizontal axis for

A: We have to find the area of the region between the curve  y=4 ln x and the horizontal axis for…

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

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Q: Find the area of ​​the region bounded by the y=x3 and y=2x-x2 curves.

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Q: Determine the area of the region between the two curves by integrating over .the y-axis X = y2 and x…

A: Area of the region between the two curves x1(y)  and  x2(y) is given by ∫abx1-x2dy    where a≤y≤b

Q: Sketch the region bounded by the curves y = vx + 4 , y=x +2 and evaluate the area.

A: Given Curves are     y = x+4   and    y = x+2  first equation can also be written as  x = y2 -4 now…

Q: Find the area of the region bounded by the curve y = x2 + 3x + 2, x = 0, x = 2, and x axis

A: Solution

Q: Find the area of the region R bounded by y-3-x and coordinate axes.

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Q: y = 0, y = 2, y = 2 – (x + 2)´, y = 2 – x - -

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Q: Sketch the region bounded by the graphs of y =e* and y=e¯X on the interval [0,1], then find its…

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Q: find the area of the region bounded by the curves y=x3 and y = x² between their intersections.

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Q: Calculate the area of the region bounded by y= Vx+1 and y = x – 2x – 3. %3D

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Q: Find the area of the region bounded by the curves y = x ^ 3 - 12x, y = x ^ 2.

A: y = x ^ 3 - 12x, y = x ^ 2.

Q: Determine the area of the region bounded by the curves y = x4 - x2 and y = x2 - 1

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Q: Compute the area of the region bounded by: the x-axis, y = e2x, x = 0 ,and x = 3.

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Q: Sketch the region enclose by the curves and compute its area as an integral along thex- or y-axis. x…

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Q: Sketch the region enclose by the curves and compute its area as an integral along thex- or y-axis. y…

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Q: Sketch the region bounded by the curves y = /x and y = x/3 and find the area of the region.

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Q: Sketch the region bounded by the curves y = vx – 2 , y = x – 4 and evaluate the area

A: Solve by integration

Q: Sketch the region enclosed by the curves and find its area y = 2 – x² and y = x

A: the given curves are y=2-x2 and y=x. To find: the area of the region bounded by the given  curves.…

Q: Find the area with respect to y of the region bounded by xニy+2, ×=o, y=-! and ソミ2

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Q: Determine the area of the region bounded by y = xe¯x² , y = x + 1,x = 1, and the y-axis. %3D

A: Given  y=xe-x2y=x+1x=1x=0  i.e. y axis

Q: 16. y= Vx, y= %3D

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Q: Determine the area of the region bounded by y= x^2 +2 and y= sinx where x = 1 and x = 2

A: Given: Equation of curves:

Q: Sketch the region enclose by the curves and compute its area as an integral along thex- or y-axis. x…

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Q: Find the area of the region bounded by the curves x = y3 - y2 and the line x = 2y. %3D

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Q: Sketch and find the area of the region bounded by y =ln In x, y = 1 – x and y 2.

A: Given curves, fx=y=lnlnxgx=y=1-xhx=y=2 The area bounded by the curves f(x) and g(x) is given by…

Q: Compute the area of the region bounded by the curves y = x and y = V (Round your answer to 3 decimal…

A: Find area between the two regions using properties definite integrals

Q: y = ; y = -x², x = 1, x = 2

A: Area between curves

Q: Sketch the region bounded by the graphs of the equations and find the area of the region y = x, y =…

A: We sketch the region using a graphing calculator

Q: Evaluate the area of the region bounded by x=y^2 and y^2 = 6-x, using double integral

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Q: Find the area of the region enclosed by the line y=4x and the curve y= x+ 3x.

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Q: 4. y = V x – 2 , y = x - 2

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Q: Find the area R -region bounded by the curve y=1/x^2 and the lines y=x and y=x/8.

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Q: 8 Determine the area of the region bounded by the curves y = =, y = 2x and x = 4

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Q: Sketch the region enclose by the curves and compute its area as an integral along thex- or y-axis. y…

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Q: Find the area of the region bounded by y = x² – x ,x = 2 , and x & y- axes

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Q: Find the area of the region bounded by the curves x = y + 3 and y = x – 1

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Q: Find the area of the region bounded by the given curves. y = 9x In(x), y = 36 In(x) %3D

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Q: Calculate the area bounded by the curves x=−(y2−y)/4    AND y=x

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Q: Sketch the region enclose by the curves and compute its area as an integral along thex- or y-axis. x…

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Q: Find the approximately area of the region bounded by the curves y and y = x* – x.

A: Given curves are y=xx2+1 and y=x4-x

Q: Find the area of the region bounded by the curve y=1. and the x-axis.

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Q: 4) Sketch the region and find the area bounded by + = 1, y = ±3 and y = x + 4 using double…

A: We have to find the area of the region.

Q: Sketch an area bouneded by the parabola y = x´ and the line y = x + 2. Using an iterated ntegral,…

A: We are asked to find the area of the region bounded by the parabola ana the line.

Q: Find the area bounded by the given curve and lines. y = x3,y = 8, and x = 0 %3D

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Q: Find the area of the region bounded by the given curves. y = 8 In(x), y = x In(x)

A: We first sketch the situation using a graphing calculator  y=8ln(x) (violet) y=xln(x) (black) x…

Q: y = 0, y = 2, y = 2 – (x + 2)´, y = 2 – x -

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Q: +4

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Q: Sketch the region bounded by the graphs of y = x and y = x³, then find its area.

A: The required area is the shaded area in the diagram below.

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.