Find the area under f(x) on [1, 5], where f(x) is the (continuous) piecewise function given by S 3+ V4 - (x – 3)², 3

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…

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Q: Approximate the area bounded by the curve of the function f(x)=1/x , x axis, and the interval [1,3]…

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Q: Find the area enclosed between f(x)=0.5x2+4 and g(x)=x from x=-4 to x=2.

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Q: Find the area of the region between the graphs of the functions f(x) = -Vx and g(x) = 2 - x on [3,…

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Q: An approximation of the area under f (x) = x² , using right endpoints on [0,1] and n =4 is: %3D

A: For the given curve f(x) = X2 under the interval [0,1] and n= 4  approximation area under the curve…

Q: 1. Find the area of the region between the graph of f (x) = x³ and the closed interval [1, 2].…

A: As per Barteby guidelines,  we can not solve more than one question. Please  repost  the remaining…

Q: Find the area enclosed between f(x) = 0.65x² + 7 and g(x) = x, on the interval from x = -3 to x = 5.

A: Given,  fx = 0.65x2+7 gx = x  We have to find the area enclosed between fx and gx on the interval…

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: f(x) = x^2 − 3x + 2 and the line g(x) = x − 1 over the interval [0,2] .

A: Being bounded means that one can enclose the whole graph between two horizontal lines.

Q: Find the area enclosed between f(x )= 0.8x^2 + 9 and g(x) = x from x = −2 to x = 4

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Q: Find the area enclosed between f(x) = 0.3x² + 4 and g(x) = x from x = -3 to x = 4.

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Q: B) Compute the area under the curve of the function f(x) = x(3x – Vã), between x = 1 and x = 4.

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Q: Find the area of the region between the graphs of the functions f(x) = -Vx and g(x) = 2 – x on [3,…

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Q: The lower, upper limit in the evaluation of the area of the region bounded by the two curves y = x…

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Q: 2. ) Find the area below f cx) -x +7x*- 1o x +3 over the interval 1L x<2 (Drow and Illustrate the…

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Q: For f bounded on [-1, 1] and continuous at 0 evaluate the integral , f da where for x E [-1,0), 0,…

A: According to the given information it is required to evaluate the integral ∫−11fdα; where αx=−1, for…

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: Find a formula for the area function of f (x) = 2x + 4 with lower limit a = 0.

A: Integrals and derivatives are considered to be inverses of each other. For example if we integrate a…

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

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

A: I am attaching image so that you understand each and every step.

Q: Express the limit as a definite integral. 9. Ск lim 2 P → 0k= 1 Axk, where P is a partition of [- 5,…

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

A: Given curve, y=x34-x2,   0, 2

Q: Find the area of the region bounded by thegraph of ƒ and the x-axis on the given interval.ƒ(x) = cos…

A: fx=cosx, π2, π The diagrammatic representation of the area is,

Q: The Riemann sum that is used to calculate the area under the curve f(x) = 1 – x over the interval 0,…

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Q: Find the area enclosed between f(x) = 0.6x² + 3 and g(x) = x from x = -2 to x = 6.

A: Topic:- application of integration

Q: Estimate the area under f(x)=x2 on the interval [0,10] using the midpoint Riemann Sum for n=5.

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Q: compute the area of the region under f(x)= ln x over the interval (1,e)

A: The solution is given by using the formula for area under the curve

Q: Use the Riemann Sum to find the area for the region bounded by the graph of f(x)= 2x+3x^2 and the…

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Q: 1. Let f(x) = x? Using the rectangle sum method, estimate the area under the curve for the interval…

A: Given the functionf(x)=x2

Q: Compute the area under f(x)=9x1/2+54x-2 and above the x-axis on the interval from x =1 x=36.

A: Explanation of the answer is as follows

Q: 2. Find the area bounded by the curve y = x³ – 3x2 from x = 0 to x = 2. -

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Q: Find the area of the region bounded by the graph of Z F7(2).png ... f(x) = avbx – x² g(x) = cx and -…

A: The common area will be the area with the x-axis for the downward-facing parabola minus the area of…

Q: The function f(x)=4e^x is defined over the interval [-2,3]. Appproximate the area A by partitioning…

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Q: 9) Given the function f(x)=-x+4 , find the net signed area between f (x) and the x-axis over the…

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Q: Find the area A of the bounded region between the grapghs of f(x) = 2x^2+x-1 and g(x)=x^2+3x+2.

A: Given equation of the graph are as follows.

Q: b) Find the area enclosed between f(x)= = -x² + 4x and g(x) = x² - 6x + 5, over the interval 0≤x≤ 1.

A: Sol

Q: Express the limit as a definite integral where P is a partition of the given interval. 3 20) liml…

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

A: Topic:- application of integration

Q: Find the area under the graph of y = g(x) from -2 to 5, where x³, 4 – x, x 1 -

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Q: What is the area of the region bounded by the graph of f on [1,5], when  f(x)<0 on [1,5] and F is…

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Q: 5. Find the area bounded by the graphs of f(x) = x2 – 3x – 10 and g(x) = x + 2 %3D -

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Q: Find the area under the graph of f over the interval [-2,4]. .2 X+6 XS2 f(x) = %3D 5x x> 2

A: To find the area under the graph of the function fx over the interval -2, 4.fx=x2+6,   x≤25x,…

Q: The lower, upper limit in the evaluation of the area of the region bounded by the two curves y = x²…

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Q: Consider the region, R, bounded above by f(x)=x5^2−6x+9 and g(x)=−3x+27 and bounded below by the…

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Q: Find the area under the curve f(x)=x3f(x)=x3 on x=[−2.5,3.5]x=[-2.5,3.5] using the Midpoint Rule…

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

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

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

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