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

Q: 1) Find the area of the region above the x axis and to the left of the line x = 1 bounded by the x…

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Q: 1. [0, 3). Find the area between the graph of y = x and the x-axis over the interval

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Q: 1. Find the area in the first quadrant bounded by f(x)=4x-x^2 and the x-axis. f(x) = 4x-x² 3 2 3 1 2…

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Q: 1. Find the area in the first quadrant bounded by f (x) = 4x – x² and the x-axis.

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Q: 6x 3x The bounded region between the graphs of f(x) and g(x) has area 5 x2 +1

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Q: Q2/ Find the area of a region bounded by the curve f(x) = 8x' and x-axis and the two lines x=1, x=3.…

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Q: 1. Find the area between the curve f(x)=√x and g(x) = x³.

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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: Find the area of the region between the curve and the x-axis. In 4 3x f(x) = e - 4 from 0 to 3

A: By using area formula, we calculate the required area of the region.

Q: 1) Find the area of the region above the x axis and to the left of the line x = 1 bounded by the x…

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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.

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Q: 9. (a) Calculate the area of the region bounded by the curves y = x² +1 and y = xª between x = 0 and…

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Q: 1. Find the area lying above the x-axis under the parabola y = 4x – x2.

A: The area lying above the x-axis under the parabola y=4x-x2

Q: 1. Find the area of the region bounded above by the curve y = 2e-* + x, below by the curve y = , on…

A: We have to find out the area of the region bounded above by the curve   y = 2e-x + x , below by the…

Q: 1. Find the total area bounded by the curves y=x²-3x and y = x³ + x² −12x.

A: Given Graphs y=x2-3xy=x3+x2-12x First we find point of intersection of graphs…

Q: 1 Find the area bounded by the curve y=- =-=-—-—-x³-3³² x ² + 16 4 -x2 + 3x and the line y=x.

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Q: What is the area of br^2 of the region bounded by

A: The given question is taken from the calculus in which we have to find the area bounded by the given…

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

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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: 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: 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: c) [ 1: Estimate the area under the graph of f(x) = x² - 1 from x = 1 to x = 3 using four…

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Q: 4. Find the area under the curve y= 1 for x24if it, exists. Make sure you show all x' -9x your…

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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: 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: 7. Find the area bounded by the curve y = x² + x + 4, the x-axis and the ordinates x = 1 and x = 3.

A: The area under the curve y=f(x) in the interval a, b is calculated using the formula: A=∫aby dx. We…

Q: 1) Find the area of the region bounded by the curve y=3x•e-2* and the x-axis, for x>0. i) Rou imal

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Q: 1. Find the area bounded by y2 = 4a(y – x), y² = 2a(x + 2y – 3a) and the x-axis.

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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: 1. Solve the area bounded by the curve (x - 2)² = - ( y - 4) and the lines x=- 2 and y= 4.

A: The area bounded by the curves (x-2)2=-(y-4) ,x=-2, y=4 is as shown above.

Q: 4/2 x2 -1 for [0, 1]. Find the length of the curve y=- Find the area of the curve bounded by the…

A: (7)We will find the length of the curve.

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

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Q: 1. The area bounded by the curves y x2,y 0, x = 2,x = 5 is 39. 2 is 10

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Q: 1. a) Find the area of the region lying between f(x) = x^2 − 3x + 2 and x − axis between x= 2 and x…

A: Therefore here area is given by definite integral   Area = ∫x=2x=4f(x)dx ⇒Area = ∫x=2x=4(x2 - 3x + 2…

Q: 1. Find the area bounded by the curves y = 3x'+1 x=0 y= 3x+1 x-1 А. 3/2 5 В. 3/4 2 С. 1/4 -2 -1/0 21…

A: y = 3x3+1 , y = 3x + 1

Q: 1. Find the area under the curve of y on the interval [1, 4).

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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: Find the area under the curve of y=-+x+5 from x=-1 to x -4 with n-5 right endpoint rectangles. O 18…

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Q: 4. Find the area bounded by the given curves:y² = x + 4, x - 2y + 1 = 0

A: Answer is given in next step.

Q: c) [1 graph of : Estimate the area under the f(x) = x² + 1 from x = 0 to x = 2 using four…

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

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Q: 1. Find the area of the region bounded by the curve y = f (x) = |a² – 4| and the lines x = -3, and x…

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Q: 17 1. Find the area between the curves y=- 9+x* 13 and y = 1+x*

A: Here we have to find Area bounded by the curves y=179+x2..................... (1) and y=131+x2…

Q: 18. Find the area of the region enclosed by the curve y = (1- x)²; 0<x< 1. (in QI)

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

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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: 4 Find the area bounded by the curve y = the x - axis, and the vertical lines x = -2 x²+4 and x = 2.

A: