Explain how to compute the area between the curve y=x^3-x^2-3x+3 and the x-axis from the values x=-2 to x=2. Clearly list all the steps, but do not have not to perform any calculations

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A: GIven functions are, y1=4y2=x2The given graphs are symmetric about y axis.The points of intersection…

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A: follow next step

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A: Here we have to find the area under the curve -x2+1 with an interval of 0,14.

Q: Find the area between the curves.

A: First sketch the region bounded by the curves x=1,  x=6,  y=1x  and  y=12 as shown below.

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A: We have to find the area in this question.

Q: Find the area between the curves (x^2)-(y^2)=9 and the line y=2x-6

A: Recall: Area between two curves:          A=∫abf(x)-g(x) dx           OrA= ∫abUpper function-(Lower…

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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…

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A: answer is in next step

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

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

A: Solution

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A: Solution:-

Q: How can you determine the you must use vertical strip instead of horizontal strip in getting the…

A: We can also compute areas by slicing horizontally instead of vertically.  In this case, we'll denote…

Q: By double integration, Find the area between the line y=6-2x, the x-axis and y-axis.

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Q: y = 4 – x2 y = 4 – 4x - -5-

A: Definition used -             The area between two curves f(x) and g(x) -…

Q: Find the area between the curves:  and  y= -x2+4x+2 and y=x2

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Q: Find the area between the curves. y = x5 - 2 ln (x + 5), y = x3 - 2 ln (x + 5)

A: Given: y=x5-2lnx+5y=x3-2lnx+5

Q: Find the area of the region bounded by y = 5x², y=0, x= 4, x = 6. Give your answer to the nearest…

A: Sol:- The area between curves is the area between a curve fx and a curve gx on an interval a, b…

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…

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A: we have to find area

Q: ded by the curve or line: y2+4x-8=0, Y

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Q: Find the total area of the shaded region. 1.5- *-5y3 1- (5,1) x= 5y2 0.5- 2.5 7.5

A: Solution

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Q: How do I find the area between two points on a standard curve?

A: Consider the two points on a standard curve z1 and z2.

Q: How can I find the area between the curves?  x=y2-1, x=1-y2

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Q: What are the two notations for writing the exact area under the curve f (x) from x = a to x = b ?

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Q: How would I find an expression for an area under a curve y=x^3 from 0 to one as limit

A: Given y =x3  We have to find an expression for an area under a curve y =x3  from 0 to 1

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Q: Find the area between the curves.    x = - 5, x = 1, y = 10 x, y= x 2 -11

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Q: а. Calculate the area under the curve from -2<x<2 using four inscribed rectangles. b. Calculate the…

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Q: What is the area bounded by the curves y=x2+5 and y=−x2, the line x=3, and the y axis.

A: Given that, The curves are y=x2+5 and y=-x2, the line x=3, and the y-axis. Find the area bounded by…

Q: Find the area bounded by the curve y = 4x - x2 and the lines x = 0 and y = 4.

A: topic - area bounded by curves

Q: What’s the concepts of calculating the area of a region with subintervals of equal widths and…

A: The concept behind calculating the area of a region with subinterval of: a) Equal width- It is…

Q: Find the area between the curve and the x-axis over the indicated interval. y = 25 - x2; [-5, 5|

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Q: Estimate the area under the curve from x=0 to x=5 using 5 approximating rectangles and left endpoir…

A: In this question, the concept of Riemann Sum is applied. Riemann Sum To estimate ∫abfxdx, Riemann…

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: Please kindly find the area between the graph of y=2-ex and the x- axis on [0,1]

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Q: Approximate the area under the curve 4=メ Right Endpoint from x=3 to メニの USing approximation with 6…

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Q: About the right and left approximations of the area between a curve and the x-axis, it is correct to…

A: Right approximation: while finding approximate area by the sum of small rectangles, if we make the…

Q: how do I determine the area under a curve?

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Q: Estimate

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Q: Find the area bounded by the curve or line: 4y = x2-2lnx, y=0, x=1, x=4

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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.