y 3- 2- y(x) = Vx y(x) = -x+ 6 1- 2 3 5

Q: 8. For the enclosed regions bounded by y = x² - 6x and y = -2x in the graph, what is the integral…

A: Given   From the graph intersection point

Q: What is the area (in square units) of the region bounded by the graphs of y=x2+2, and the x axis…

A:

Q: Find the area A of the region between y = 4x2 + 10 and y = 2x + 7 over the interval [-3, 2].

A:

Q: Find the area of the region between the graphs of y = 16 – x² and y = - 3x – 24 over the interval –…

A: The objective is to find the area.

Q: Find the area of the region. 5ex y = 1 + e2x y 4 3 x = In V3 2 1 -2 -1 2)

A:

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

A:

Q: 4. Find the area of the shaded region by integrating with respect to 'y', y-2x-4 1.-2)

A: The area between two curves f1 and f2 between the points y=a to y =b is given by; A=∫ab(f2-f1)dy

Q: The area between y = 3 x + 1 and y = x² from x 1 to x = 3 is II %3D

A:

Q: 10. Find the area between y = 3x²+14 and y = 4x + 2 over the interval [-2 , 2]

A:

Q: 2. Find the area bounded by the two curves y=x²-6x²+ 8x and y = x² - 4x.

A:

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: 3. Find the area bounded by the curves x2 + y = 0 and 2x + y + 3 = 0.

A:

Q: Set up the definite integral that gives the area of the region bounded by the graph of y,-x+2x+1 and…

A:

Q: Write a definite integral that represents the area of the region. y1 = x2 − 4x + 3 y2 = −x2 + 2x + 3

A: Where, From the graph we can see that the points of intersection of these two curves are,

Q: What is the area (in square units) of the region bounded by the graphs of y=x²+2, and the x axis…

A: The area bounded by the curve y = f(x) from x = a to x = b is given by, Area=∫abf(x)dx

Q: R is the region bounded by y = 4 – x2 and the x-axis and it is revolved about y = 4.

A:

Q: 1) Find the area bounded by curve y = xvx2 + 1 and the lines x = 0, x = 4 an %3D the x-axis.

A:

Q: 2. Find the area bounded by the two curves y = x² - 6x²+ 8x and y = x² - 4x.

A: We have to compute the area between the given curves using the double integration method by first…

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

A:

Q: Evaluate the integrals using partial fraction 3y²-y+! S y³ - y² dy

A:

Q: Find the area of the region bounded by y = xInx and the x-axis between x=1 and x = e

A: Using formula of Area Under The Curve.

Q: What is the area of the region between X |y=x2–2x−3 and the x-axis from x=0 to x=4?

A:

Q: Find the exact area of the region bounded by y = -x² + 3x +1 and y = -x+1

A:

Q: 2. Find the area bounded by y = ÷x' 3x and y = -4. - %3D 3,

A:

Q: Find the area between y = (x - 2)ex and the x-­axis from x = 2 to x = 4.

A: The area between y = (x - 2)ex and the x-­axis from x = 2 to x = 4 is given as: Area=∫24x-2exdx To…

Q: The area of the region between the curve y x'-6x+ 8 and the x-axis & x=0; x= 3 is given by -6x+8)kke…

A:

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

A: Give that

Q: 1. Find the area of the region bounded by the curves y = x2 – 3x + 5 and y = 3x + 5.

A: Answer and explanation is given below.. For solution of other questions please repost

Q: Set up the definite integral required to find the area of the region between the graph of y = 12-2²…

A: we have to find out area

Q: What is the area of the region between y=x²-2x-3 and the x-axis from to 6? x=0

A: Area bounded by the curve fx=x2-2x-3 and x-axis on interval 0, 6

Q: Find the area bounded by y^2=4a(y-x), y^2=2a(x+2y-3a) and the x-axis.

A: Given: y2=4a(y-x), y2=2a(x+2y-3a)

Q: Find the area between the curves: y=x^3-11x^2+18x and y = -x^3+11x^2-18x

A: y=x3-11x2+18x and y=-x3+11x2-18xTo find the area between the curves:

Q: Find the area between the curve x = y2 and the line x = y + 2 Solution : * with respect to x:

A: Given curves x=y2. . . . 1x=y+2. . . . .2 Equating (1) and (2) y2=y+2y2-y-2=0y-2y+1=0y=2,-1

Q: Find the area of the region bounded by y = 5-x2, y 2x+2, y=-x-1, a. in terms of x b. in terms of y y…

A: We will find out the required value.

Q: Find the area of the region lying to the right of x = y2 - 5 and to theleft of x = 3 - y2.

A: Given: f(y)=y2-5 and g(y)=3-y2 To find: Where the curve intersect and it is calculated when…

Q: Find the area between y = ( x − 2 ) ex and the x axis from x = 2 to x = 6.

A: The area above the x-axis and between the curve  y = ( x − 2 ) ex is given by:  ∫26(x-2)exdx

Q: Find the area bounded by y^2 = 4a (y-x), y^2 = 2a (x+2y-3a) and the x-axis

A: We can use double integral to solve it.

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

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 of the region between the curve y = 2x/(1 + x2) and the interval -2<= x <=2 of…

A: Find the area bounded by curves

Q: Find the area bounded by y2 = 4a(y - x), y2 = 2a(x + 2y – 3a) and the x-axis. Show complete solution…

A: To find the area:

Q: 2. Find the area of the region bounded by x = y² - 4 and x = 3y.

A: Given query is to find the area of the region bounded by x=y2-4 and x=3y. The rule for integration…

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

A:

Q: Set up the definite integral required to find the area of the region between the graph of y = 20 –-…

A:

Q: Write a definite integral that represents the area of the region. y1 = x2 − 6x y2 = 0

A: Given: y1 = x2 − 6x y2 = 0

Q: Write a definite integral that represents the area of the region. y1 = x2 y2 = x3

A: The equations for the two curves are as, y1=x2y2=x3 Finding the point of intersection of the curves,…