53. Sketch the region under the graph of f(x) = 1+x2 for -00 < x < 00, and show that its area is I.

Q: 2. Find the area of the region bounded by the graphs of y = x2 – 6 and y-3 0.

A:

Q: 18.Find the area bounded by the graph y = 30x – 3x² and the x – axis. %3D

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Q: What is the area of the region between the graphs f (x) = 3x – x and x – axis from x = 0 and x = 2 2

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Q: 5. Find the area bounded by the curves y = x4 – 4x2 + 4 and y = x2. -2

A:

Q: 5. Find the area of the region bounded by f(x) = -x? – 2x + 3, x-axis, and interval [0, 2].

A:

Q: 61. Find the area of the finite region bounded by the curve y = 12 + x -x and the line:y =x + 3.

A: Here we find out the bounded area by using integration.

Q: 8. Find the area of the region bounded by the graph of f(x) = 8 – x², the x-axis and the vertical…

A: Draw a schematic graph and area under the curve of given question,

Q: 7. Compute the area of the region R enclosed by the curves y = x² - 1 and y = 1- x.

A: We have to find out the area

Q: 12) Find the area of the region between the curve y = 22-X and the interval 0 < x < 2 on the х-ахis.

A:

Q: Find the area under the graph of x = 4 - y² on the interval [0, 2]. -3 -2 -1 1 2 3 → 1 0 -1 16 3 16…

A:

Q: Find the area of the region under the graph of f(x) = ln(x) from x = 3 to x = 11.

A: Given function : f(x) = ln(x) To find the area of the region from x=3 to x=11 To find the area of…

Q: 28 Find the area of the region bounded by the curve y = (x-1)' and the x-axis from x=0 to x= 2.

A:

Q: 2) Find the area of the region bounded by y = sin x and below by y = cos x from x =- to x = 5n/4.…

A:

Q: Find the area A of the region R between the graph of f(x)= (x^2)/(4-x^2)^(1/2) and the x-axis on the…

A:

Q: 3. Find the area of the region bounded by y=x²-2x +2 and y=6-x².

A: Use area under curve

Q: Find the area of the region under the graph of f (x) = 4 − x2 over [0, 2].

A:

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

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Q: Find the area of the region bounded by the graphs of f(x)=x^3-x^2+10x and g(x)=-x^2+26x

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Q: 3. Compute the area of the region. f(x) =16 – x on [-4,4]

A:

Q: 11. Set up and evaluate integral to find the area of the region bounded between the x-axis and the…

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Q: 5. Find the area of the region bounded by the graphs of f (x) = 2 - x2 and g(x) = x.

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Q: 8. Find the area bounded by f(x) = (2x² – 9)(2x – 3) on [-2,1].

A: It can be solved using application of integration. To calculate area under a curve f(x), follow…

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: 4. Find the area of the region bounded by f(x) = (x + 8)(x + 2)(x - 6), x axis, and the interval…

A:

Q: 1. Find the area bounded by the two curves f(x) = x2 - 5 x + 6 g(x) = x + 6

A: Given curves f(x)=x2-5x+6g(x)=x+6

Q: Show that the region under the graph of y = (x - 1)^-1/3for x ≥ 2 cannot be assigned any finite…

A:

Q: 1 75. Find the area of the region bounded by the curve f(x) = (16 + x²)-3/2 and the x-axis on the…

A:

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

A: The equation of the curves are : C1 : y = x2C2 : y =-xC3 : x = 0C4 : x = 2 To evaluate : The area of…

Q: 18) Find the area of the region bounded by the graphs of y = x + 2 and y = x².

A:

Q: 3. Find the area between the graph of f (x) = x² – 2x and the x-axis from x = -1 to x = 1

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Q: 6. Find the area of the region bounded by the graphs of f(x) = 2 - x and g(x) =x.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 6. Find the area of the region bounded by the two curves of equat rens a) x=3-y² and f(x)= 3x (スー2)-…

A: Note:- In Part (a), you mention f(x) for 2nd curve but it is not mentioned for first curve. If i…

Q: Find the area of the region between the graphs of y = 13 – x² and y = over the interval 3 < x < 8. –…

A: Solve by integration

Q: 5. Find the area of the region bounded by the xr-axis and the graph of f(x)= -over the interval (-o.…

A:

Q: 10. Approximate the area under the curve of f(x) = 2.x +1 over the interval [0, 1] by using 6…

A:

Q: 4. Use the right-endpoints and 3 subintervals to approximate the area of the region under the curvey…

A: Given curve is y=1/x We will divide the interval [1,4] into three sub-intervals. The length of each…

Q: 1. Use right-hand endpoints and n = 4 subintervals to approximate the area under the curve of f(x) =…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: (12) Find the area bounded by the graphs of function y =x2 +1 and y = 2x -2 for -1 <x <2

A: Giveny=x2+1y=2x−2−1≤x≤2

Q: Find the area of the region R under the graph f (x) = x^2 on [0, 1]

A: Find the area of the region R under the graph f (x) = x2 on [0, 1] .

Q: 1.5: The area of the region enclosed by the graph of f(x) = -√x and the x- axis on the interval [0,…

A:

Q: Determine the exact area of the region bound by the graph of f (x) = –x² + 5 and the x-axis on [-1,…

A:

Q: What is the area of the region between the graphs of y = x3 and y = -x from x = 0 to x = 2

A: Area between curves

Q: 5. Find the area of the region that is enclosed by the graphs of the functions: y=-x? - 3x + 4 and…

A:

Q: 1. Use finite approximations to estimate the area under the graph of the function f (x) = x³ between…

A: The function fx=x3 between x=0 and x=1

Q: 4. Find the area of the region that lies under the graph of f over the given interval. a. f(x) = 2 -…

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Q: Use the limit process to find the area of the region between the graph of the function and the…

A: Given:Use the limit process to find the area of the region between the graph of the function and the…

Q: Find the area bounded by the curve y=10+4x+x^2 and x-axis from x=-3 to x=-1.

A: