22 What is the area f(.x) under the line x) = 6 – x above the interval from x to 6? What is the derivative of this f(x)?

Q: /Find the area under the curve y = sin x cos 2x from x=0 to x =-

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Find the area under the curve f(x) = 2x* from x = - 3 to x = 2. Area %3D

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Q: (a) Express the area under the curve y = x 5  from 0 to 2 asa limit.

A: Given

Q: Let Ω denote the area under the curve f(x) = 4/(x^2 + 1)^3 from x = 0 to x = 1.

A: We’ll answer the first part of this question since due to complexity. Please submit the question…

Q: What is the net signed area between f(x)=2x+4 and the x-axis over the interval [−7,4]? Do not…

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Q: Approximate the area under the curve f (x) = x + x² over the interval [0,4] with n subintervals.

A: Approximate the area under the curve f(x)=x+x^2 over the interval[0,4]

Q: Find the area under the curve f(x) = sin x bounded by x ∈ [0, 3]

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

Q: Find the area between the curve f(x) =sinx and g(x) = cosx over the interval x=-2 and x=5

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Q: What is the area under the curve of the following positive function y = 10x4 + 3x² between x = -1…

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Q: What is the area under the curve of f(x) = 4 from r = 2 to r = 6? %3D

A: To find the area under the curve of f(x) = 4 from x = 2 to x = 6 Area = ∫26f(x)dx

Q: Find the area under the curve from x = 0 to x = 1 of y = (x 4 + x)5 (4x 3 + 1).

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Q: Find the area under 3 sin(x) and above y = 3 cos(x) for 0 < x < T. that this area may not be defined…

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Q: # 8) Find the area under the curve. y 4-x

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Q: Let f and g be continuous on the closed interval L0,5]. suppose that J s(x)dx=A, / f(x) dr=B, The…

A: Here, to evaluate: ∫35(f(x)-g(x)) dx

Q: 39. For the function f(x) = e + e, prove that the are length on any interval has the same value as…

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Q: What is the net signed area between f(x)=−x−5 and the x-axis over the interval [−7,1]? Do not…

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Q: so xe x dx

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Q: 21 What is the area f(x) under the line x) = 6 – x above the interval from 2 to x? What is the…

A: The given curve is: vx=6-x

Q: 4. Find the approximate area under the curve f(x) = x³ – 3x² + 7 on the interval [0.97,3.4]. Use…

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Q: Find the area bounded by the curve y=11+5x+x^2 and x-axis from x=−3 to x=−1

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

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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: 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: Use the method of anti-derivative to find the area under the curve y = 4(x³ the interval [2,4]. 4x)…

A: Before finding the area, first, we will find the x-intercepts of the curve  to check that any point…

Q: Find the area under the curve y = sin √x /√x between x = π^2/4 and x = π^2

A: Given function

Q: What is the area under the curve for f(x) = 3x2 +5 between x=1 and x=10?

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Q: Estimate the area under the curve of f (x) = x3 – 4x on [-1, 3] by calculating Lg and Rg. %3D

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Q: What is the net signed area between f(x)=−2x−6 and the x-axis over the interval [−8,2]? Do not…

A: f(x)=-2x-6 First we graph the given function  Then we look at the intervals to find out the area

Q: What is the area under the curve y = cosx over the interval [0 ,π/2]?

A: Integrating the equation of curve in the given interval gives the area

Q: Find the area under the curve f(x) = 4 – ÷x² over the interval [0, 3] by using definition with x is…

A: Here we have to use application of Riemann Sum.

Q: 1. Find the area under the curve y = 9- a2 over the interval[0, 3] using right end point…

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Q: Find the area under the curve f (t) = 3 − x2 + 5x from x = −2 to x = 4 .

A: Find the area under the curve f (t) = 3 − x2 + 5x from x = −2 to x = 4 .

Q: a. Find the area under the curve f (x) = 4 – x² over the interval [0, 3] by using definition with x…

A: Given function is fx=4-14x2 and interval is0,3.

Q: What is the area under the curve of f(x) = 4r from r = 2 to r = 6? %3D

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Q: Find the area between the graphs of f(x)=sinx and g(x)=cosx for <x< 4

A: Graph of area from π4to5π4 is shown below÷ Red curve = sin(x) Blue cuve = cos(x)

Q: (4) Calculate the area between the two curves of the functions fi(x) = x2 and f2(x) = 2 x + 3

A: Here, the given curves are f1(x)=x2, f2(x)=2x+3 First of all, find the intersection point(s) of the…

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

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Q: Express the limit as a definite integral on the given interval. cos(x;) lim n-0 i = 1 Дх, [2л, 5л]…

A: Given limn→∞∑i=1ncos(xi)xi∆xi in the interval [2π,5π]We need to express the limit as a  definite…

Q: 4. Find the area under the curve y = Vx +6 from x = -6 to x = 3. Give exact answer.

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Q: Approximate the area under the curve y=f(x) between x=-1 and x=5 using Simpson's rule with n=6…

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Q: (Area Under a Curve)

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Q: find the area between the curves: f(x) = x2  + 1,   g(x) = 3 - x   on the interval [0,3]

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Q: 3. Find the area between the curve y = 2sinx cos x and the x-axis within the interval [0,2π].

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Q: The area between the curves f(x)=x and g(x)= x^2 on interval [0,2] O 2

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Q: 5. Find the area of the region between the functions y= secx and y = tan x from x = 0 to x=- 2

A: The given curves are, y=secxy=tanx The limits are x=0 to x=π2. Then, the area is, I=∫0π2secx-tanxdx…

Q: 9) Find the area bounded under the curve y = x+2 and y=x² – 4.

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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: