Find the area under the curve over the indicated interval. 5. y = x - x2; (0, 1] 6. у 3 [1, 3]

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 2 3 4 6. stimate the area between the given curve and x-axis on the interval [0, 8] by…

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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: 9. Find the area between y = √x and y = √x+1, over the interval 0≤x ≤4

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Q: Verify that the area under the curve y = 1/x from x = 1 to x = m equals 2m, the area from x = 3 to x…

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Q: 1. Find the area of the region bounded from the right by the curve x = 4 – y? , from the left by the…

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Q: 5 Find the area under the curve y = - over the interval [4, 7]. (3x + 1)² Enter the exact answer.…

A: Area under the curve y = f(x) from a to b is : A = ∫abf(x)dx

Q: 1. Find the area enclosed between the curves y=x and y = x .

A: given curves are y=x2 and y=x find out the area

Q: 3. Find the area bounded on the right by x+y=2, and on the left by y=x and below by x-axis.

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Q: 6. Find the area between the curve y = x(x - 3) and the ordinates x = 0 andx = 5.

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Q: Q1. Find the area under the curve for following equation for the interval (x= 0 to x= 8) 1 y (x- 5)5

A: One of the two main parts of calculus which are concerned with the study of integrals, as opposed to…

Q: Q1. Find the area under the curve for following equation for the interval (x = 0 to x = 8) 1 y (x –…

A: Area under the curve will be given by integrating the function of the curve with respect to x with…

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. Find the area of the region between the curves y=x -4 and y=2-x.

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

Q: 15. Find the area between the curves x = y? - 4 and x = 8- 2y.

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

A: Given; y=x^2+x+4

Q: 7. Find the area bounded by the curve y = 4x - x^2 and the lines x = 0 and y = 4.

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Q: 5. Calculate the area between the Curve fex) = 4-x² and y = 4, y = 2x_4? 20 GMS: S-U 3

A: To find the area bounded by the curves f(x)=4-x2, y=4, y=2x-4. The region bounded by the curves is:

Q: Find the exact area under the curve between the indicated values of x. 3 ; between x = 1 and x = 3

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Q: 5. Find the area between x = y + 1, y = Vx and x = 0.

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Q: 1. Estimate the area under y = 2 In(5x) and above y = 2 for 4< x < 6.

A: we have to evaluate the area under the curve y=2ln(5x) and above y=2 for 4≤x≤6

Q: 1. Find the area bounded between the curves: y = x°, x = 1, and y -8

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Q: 1. Find the area between the curve y=x²+2 and the x-axis, between x=1 to x=3

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Q: y = 5; [1,3] 6. y=5 4 3 2 1 0 1 2 3 4 x

A: Given : To find : Area under the curve y=5 under the limit [1,3]

Q: 8. Find the area under the curve y = e* and above the x-axis from x = 0 to x=1. -3x

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Q: 4) The area between y= In x and y = 2ln x up to x= e is:- A) = 7 B) = 1

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Q: 2.) Find the area between the curves y? = 2x and y 6-x

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Q: 7 Find the area under the curve y = x over the interval [1, 5]

A: Please refer to the image below

Q: 7 - over the interval [1, 5] Find the area under the curve y

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Q: 8. Find the area between the curves y = x x² and y = x2 – 4x between x = O and x = 2.

A: For calculating the area between curves first of all we will draw the schematic diagram of the…

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: 2. Find the area between between x = 0 and x =9. y=√x-10 and y=0 10

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Q: 1. Find the area bounded by the curve y = x^2, the x- axis, and the ordinates x = 1 and x = 3.

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Q: 10. Find the area bounded by the curve x = y² + 2y and the line x = 3.

A: Area Bounded by the Curves : If f(y) and g(y) are two continuous function on a,b and f(y)≥g(y), then…

Q: 4/Find the area of the region enclosed between the curves y=0, x=TT/4, x= TT/2 ? ans/ 1/2

A: The curves given to us is  y=cos2x,y=0x=π4,x=π2

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

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Q: 4) The area between y = In x and y = 2ln x up to x= e is:- = 7 A) B) = 1

A: Since you are asking multiple questions. As per our guidelines, we are supposed to answer only one…

Q: 12 Find the area under the curve y = over the interval [ – 1, 1]. (x + 2)² area = i

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Q: 4. Find the area under the following curves over the indicated interval: (c) z = -3t2, y = 2t, for 2…

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Q: 5) Calculate the area of the region between the curves: y=2-x² and y=x²

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Q: 1. find the area enclosed by the x-axis and the curve y= -x^2+9

A: The region enclosed by the x-axis and the curve y=-x2+9

Q: (3) Theorem: The area between the curves y = f(x) and y g(x) and between x = a and y = b is A =…

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Q: 12. Find the area bounded by the curve y = 3x(x - 2)² and the x axis.

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Q: (3) Theorem: The area between the curves.y = f(x) and y = g(x) and between x = a and y = b is A =…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Find the area of the region bounded to the right by x = -y + 4 and to the left by x = y. 2 J] -2- 4-…

A: The objective is to find the area of the region.

Q: 5. Find the area bounded by the parabola y = x^2 - 3 and the line y =1.

A: Given problem:- Find the area bounded by the parabola y = x2 - 3 and the line y = 1 .

Q: 4.Determine the area bounded above by y: 5 + x² and below by y = 1 + 2x²

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Q: 11. Evaluate the area under the curve y= on the interval [7, 9].

A: Given,            The curve is y=x2 and the interval is 7,9.To find : Evaluate the area under the…

Q: (8) Find the area under the curve f(x) = e* – 1 from X =1 to x 2 Leave the answer with e, don't use…

A: SOLUTION-

Q: 6 Find the area enclosed by the given curves. * y = x³ and y = 4x

A: Since you have posted multiple questions i can do first question as per our company guidelines…