3 y = √6-x², y = x/3, x = 2x Do not solve, just set up an integral. -2 -1 3 2 2

Q: Integrate the y^2 = 4x^2 (1 - x

A: Note: According to bartleby we have to answer only first question please upload the question…

Q: Explain how to find the area of a region using a definite integral in your own words.

A: For finding the area of a region, it is needed to define define a function which describes the…

Q: ANSWER

A: Given, two curves y=x3 and y=x To find the area between the two curves over the interval [-1,5]

Q: 3. tind the area bounded by thu follo wing curves: y= X^2-4,y= 0,x = 4

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Q: (3) Showing all your working, find the solution set which describes the area shown in green below.…

A:

Q: The area under the graph of a function f(x) over the interval 1, 4 is approximated by the rectangle-…

A: Consider the graph of function f(x) on the interval [1,4]

Q: Find the area bounded by the curve: y = 8x – x² and y = 3x

A: a) Consider

Q: With the equation y = Inx+1 on the interval 1 <x < 2, please set up but do not evaluate the integral…

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Q: Determine the approximation of the area of x^3 +3 from x=-5 to x=5 with 10 trapezoids Presents:…

A: We have to determine the area of  from  to  with  trapezoids.

Q: 2x e - dx e +1 Evaluate the definite integral. Provide exact answer: 2x

A: An important formula of integration is, ∫f'xfxdx=lnfx+C ......1 Rewrite the given integrand.…

Q: 3dt = 0.

A: We’ll answer the 1st question since we answer only one question at a time. Please submit a new…

Q: Determine the integral by trigonometric substitution: ∫√x^2-15 / x^3  dx

A: Given. ∫x2-15x3dx                               .........1 Let  x=15 secθ On differentiating.  dx=15…

Q: Find the distance between the point (-1,2) and the line with x-int 1/3 and y-int 3/4.

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Q: Basic Integration Formulas Substitution Formulas 1. - x+1 + C (n -1) 5. 4" du ** + C (n +-1) 2. In…

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Q: PART II: What is the area bounded by the curve y² = x and the line x - 4 = 0?

A:

Q: When computing a contour integral, are you able to split the function into two parts and add the…

A: Solution: Contour integral.

Q: Give an example showing how to use rectangles to estimate the area under a curve.  Then use…

A: Let us choose a function f(x) = x2 and say that we want to calculate the ara under f(x) and x-axis…

Q: Find the area bounded by y = x^2 -1, and the line y = 3. * 31/3 sq. units 35/3 sq. units O 37/3 sq.…

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Q: what is the area between the following using horizontal strip? y^2= 3x and y = x^3

A: Horizontal strip

Q: How do you do area model?

A: Given,           How to perform area model?

Q: Can you explain how I can find the area of y=1/x^3/2, x=4, the x-axis to the right, and y=x^-4/3, x…

A: Region is bounded by y=1x3/2,y=1x4/3,x=4,x=8

Q: 11. Find the first four nonzero terms in a power series expansion of the solution to the given…

A: We can solve this is using series expansion

Q: What is the area of the attached figure below? +2" 4" 5" 2"

A: We know that the area of the rectangle is = Height*breath