28. Find the area, if it is finite, of the region under the graph of y = 1/V(3x – 2)³ over [6, *).

Q: Find the area under the graph of y = -x² AL 54 3-2 -11° 1 2 3 4 5 X 4x on the interval [-4, -2].

A: We will solve the required.

Q: 6. Compute the area under the graph of f (x) = ! between the vertical lines x = 1 and x = M. Prove…

A:

Q: 10. Find the area bounded by y = x and x² – 2х — у %3D 0. -

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Q: Find the area between the curve of X = 5 4 3 2 1 1 2 3 O 2.749 O 3.296 4.159 4.957 4 5 33 and the…

A:

Q: Determine the expression for the area under the curve f(x) on the closed interval [0, 3] with n…

A: Definition of the definite Integral

Q: What is the area of the region bounded above by y = -3 MX. 54-3-2-1 1 2 3 4 45 O ভাল লাল নাল O O O…

A:

Q: 1. Determine the area under the curve y = x² + 5 from xX1 = 0 to x2 = 1.

A:

Q: 9. What is the area of the region between the graphs of y=x2and y =-x from %3D x=0 to x= 1. A) 1 B)…

A: Topic = Area

Q: 2. Find the area bounded by y = x² - 2 and y = 2x + 1.

A:

Q: Find the of the region. K bounded by.the graphs. of the given équations. y=2.€;. e X.= Ø and. x.=…

A:

Q: 7. Sketch the region R enclosed by the curves y = x² and y =2- x2 and compute its area.

A: Sketch the curves and find the region for which the area is to be calculated. The region AOBC is the…

Q: 31. Find the area of the finite region bounded by the curves y = x(10 - x) and y = x (3x+ 2).

A: Q 31 Consider the curves, y=x10-x   and    y=x3x+2 To calculate the intersecting points between the…

Q: 2. Find the total area of the finite region bounded by y= sin x , the x - axis , From X=o to x = 21

A: Given- y=sinx To Find- The total area covered by the above curve and the x-axis from x=0 to x=2π.…

Q: 16. Between f (x)=x +2x and the x-axis on [3,4].

A: we have to use the limit process to find the area of the region between fx=x2+2x and the x axis on…

Q: 2. Determine the area under the curve y = on [0, 1].

A:

Q: 2 6) Compute the area bounded by y² + 2y + 4 and y = 4.

A:

Q: - 7. Find the area bounded by the curve y² + x − 4y = 5 and the y — axis

A: We have to find the area of the given curve and line.

Q: Find the area of the region under the curve for the given interval. y=x²+x-6 on [1,4]

A:

Q: 1. Find the area under the curve y a. f(x) = x³ [2,3] b. f(x) = 3√x [1,4] (x) over the stated…

A: a) fx=x3          2,3 b) fx=3x          1,4 Find the area under the curve y=fx over the stated…

Q: 3. Find the area of the region bounded above by y=e*, bounded below by y = x, and bounded on the…

A:

Q: 1. Find the area of the region bounded by the ves y = x³ – 5x + 6, y = 10 – 4x – 4x2 and the line x…

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Q: 1. Find the area under the curve y = x² from x = 1 to x = 3. -y-x² (1,1) x-1 (3,9) x-3

A:

Q: In(6z) – 1 Find the area of the region lying between the x-axis and the curve y = to the right of…

A: The area of the region lying between the x-axis and the curve yx=ln6x-1x2 to the right of the line…

Q: 1. Set up the integral(s) to find the area of the region bounded by y = -x² + 2x +5 and y = x3 - 3x2…

A:

Q: 2. Find the area under the curve y = x² from x = 0 to x = 3. -y-x² (1,1) x-1 (3,9) x-3

A: Solved below.

Q: 3 8) Find the area bounded by y = x = 0, y = 0, and x = 2. Vs1 - 9x2

A: Given function  y=381-9x2 y=39(9-x2)y=339-x2y=19-x2 To find area bounded by the curve

Q: 5. Find the area under y = -x² [0, v7] on

A: Given curve, y=x34-x2,   0, 2

Q: Let a >1 be an integer. The area of the region bounded by the graphs of the functions y = 12ax and y…

A: This question is based on application of integration.

Q: 7) Determine the area bounded by the x-axis under the line y = 2x+1 from x=1 to x=4

A:

Q: Which of the following represents the area of the region bounded between the graphs of y = +3z and y…

A:

Q: 1. Find the area of the region bounded by f(x) = x, the x-axis, and the vertical lines x = 0 and x…

A: Given: 1.f(x)=x3  x=0 and x=1

Q: In(5z) – 1 to Find the area of the region lying between the r-axis and the curve y the right of the…

A: Using integration by parts,

Q: 1. Find the area of the region bounded by the given curves. a) y = 2x° - x² - 5x + 4, y= - x² +3x…

A: We have to find the bounded area by curves

Q: Which of the following gives the area of the region between the graphs of y =x3 and y = -x from x= 0…

A: Given, y=x3,y=-xfrom x=0 to x=2

Q: 11 Find the area of the region bounded by y = x² + 2x – 1, y = + x x = -3, x = 1. 2

A: Area between curves

Q: 6. Compute the area enclosed by the curves y = x² - 9 and y = 9-x2. Page 5

A:

Q: 2 3. Find the area of the unbounded region between the x-axis and y=- for x26. (x-4)

A:

Q: 2

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Q: ii, Find the area under the graph y=5x4 between the limits x= 1 and x-3.

A:

Q: (4, 16) 10 Find the area of the region bounded by the graphs of y = 4x y = x2 and y = 4x. y = x2…

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Q: 1. Find the area bounded by: x=y² and y=-x².

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Q: Below is the graph of y = z2 +5. 301 2어 1어 -4 -3 -2 -1 0 i 2 3 4 5 The area bounded by y = z2 +5 and…

A:

Q: 1. Find the area of the bounded region by x- y = 2, x= y73 and y = 8. Round your final result to the…

A: The given function is bounded by the x-y=2,x=y23 and y=8. Write the given equation as a function of…

Q: 1. Find the area of the finite region enclosed by у%3D — (х + 1)(х — 3) аnd y %3 0 | -

A: Given: y = -x+1x-3,  y = 0 To find: The area of the finite region enclosed by  y = -x+1x-3, y = 0.

Q: Compute the area under the curve of f(x)=e^4x − 1/x from x=2 to x=5

A:

Q: 1. Find the area of the region bounded by y = x² - 3 and y = 5 - x².

A: This question can be solved using the concept of area bounded by two curves.

Q: Compute the area under the curve of f(x)= e4 1 from x = 2 to x = 5

A:

Q: 1-Find the area of the region R under y=x2 + 3x + 2 Between x=-1 and x=2

A:

Q: Find the area of the region bounded by the curve y = x³ – 2x² – x + 2 and the x-axis for -1 <x<2, as…

A: We will solve this question by using double integration. where,  y=0 and y=x3-2x2-x+2 and x lies…

Q: Find the area under the curve  over the stated interval. fx=x^-2/3;[1,27]

A: Area under the curve f(x) between the interval [a,b] is given by: