Using the fundamental theorem, find the area under the curve y = 4x3 −2x+5 and above x-axis on the interval [0,2]

Q: Let f (x) = |x³ + 64| Find the area A of the region between the graph of f and the x axis on the…

A: here we have ............the x-axis .............the given function  .............the given interval…

Q: .Find the area under the graph of y = g(x) from -3 to 6, where x², g(x) = 18 – x, x > 2

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Q: Use the Fundamental Theorem of Calculus to find the "area under curve" of f() = 2x + 3 between x =…

A: Our Aim is to find the "area under curve"of f(x)=2x+3 between x=11 and x=13using the Fundamental…

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: Use the Fundamental Theorem of Calculus to find the "area under curve" of f(x) = 6x + 14 be x = 11…

A: Area = integration a to b f(x)dx

Q: Find the area bounded by the curves: y=-3x/(x2+2) , x2+y2=5, and x=0. This area is in the fourth…

A: The solution are next step

Q: 4. a. Use the Fundamental Theorem of Calculus to find the exact value of 3 (x3 – 4x)dx. | b. Find…

A: Solving the definite integral we have

Q: Find the area between the functions f(x)=x+2 and g(x) x from x=-1 to x 2. You must use the…

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Q: (b) Find the area enclosed by the curve y = 4x2 and the x-axis between x = -2 and x = 2. %3D

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Q: Let f (x) = |x³ + 125| Find the area A of the region between the graph of f and the x axis on the…

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Q: Use the Fundamental Theorem of Calculus to find the "area under curve" of y=−x^2+8x between x=2 and…

A: you can clearly understand if you follow the below solution

Q: ind the area under the graph of the function y=2-x-x² over the interval[-2.1]

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Q: Use the Fundamental Theorem of Calculus, Part I to find the area of the region under the graph of…

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Q: y=x² - 4x and y=−x² + 2x.

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Q: d the area bounded by the graphs of x = y² and x 2 - y²

A: Topic = Area

Q: - y = x' 3 from x=-1 to x=2 %3D

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Q: Use the Fundamental Theorem of Calculus to find the "area under curve" of f(x) = 4x+14 between x =…

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Q: Using Calculus, determine the exact area beneath the following curve from x = 1 to x = 2 f(x)=x2 –…

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Q: Find the area between the curve y = - a x2 + b and the x-axis, and bounded by x = 1 and x = 2. Where…

A: Area=∫x1x2ydx We have, y=-ax2+b, x1=1, x2=2

Q: Find the area of y=4ex/1+e2x bounded by the x-axis, y-axis and line    sketch the graph

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Q: Q1// Find the Area bounded by: x = -y2 and x = y - 2

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Q: Use the Fundamental Theorem of Calculus, Part I to find the area of the region under the graph of…

A: Given, f(x) = 16 cos(x)                    We have to find the area on the interval 0,π/2

Q: Find the area bounded by the curve a?y = x3 the x- axis, and the line x-2a. Solve with respect to x.…

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Q: The area bounded by the curve y = 6x , the x-axis and the ordinates x = = 0, x = 2 is 6 O 3 O 12 O…

A: area bounded by curve and x axis given by integrating curve

Q: Use the Fundamental Theorem of Calculus, Part I to find the area of the region under the graph of…

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Q: The area between the curves f(x)= x^2,and g(x)=1 1/2 1/4 O 4/3 O 1/3

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Q: Estimate the area under the graph of f(x) = between x =1 and x = 7 using the midpoint rule" with two…

A: According to the mid-point rule, we divide the interval into n sub-intervals and consider the height…

Q: Find the area, A, between the curves y = In x and y = In 3x from x= 1 to x-2. The area is A = (Type…

A: We have to find the area between the given curves.

Q: Let f(x) = - 2x ^ 3 + 6x ^ 2 - x + 1 Use to estimate the area under the curve on L 1 the interval [-…

A: Using Riemann right end points sum, then limits

Q: show all work find the area between y=3x2+5 and y=x over the interval 1≤x≤2

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Q: Use the Fundamental Theorem of Calculus to find the "area under curve" of f(x) = 4x + 4 between x =…

A: Given function, y=4x+4 x=6, x=8 First we draw the diagram

Q: Q1// Find the Area bounded by: x = -y2 and x = y-2

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Q: Use the Fundamental Theorem of Calculus to find the "area under curve" of f(x) x = 18 and a = 21. 3x…

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Q: The area between the graph of f (x) = x4 and the x-axis over the interval [0, 1]

A: Given equation - f(x) = x4Given intervals = 0, 1Let's draw the curve for the function given -  x…

Q: ind the area bounded by the curve y²=4x, the lines x=1 and x=4.

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Q: Find the area under the curve y=x3+3x2 and the x-axis between x=1 and x3D3. O 46 sq. units O 54 sq.…

A: We need to find the area under the curve y=x3+3x2 on interval 1, 3.

Q: Use the Fundamental Theorem of Calculus to find the "area under curve" of f(x) = 4x + 20 between x =…

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Q: Find the area between f(x) = x and g(x) = (x-2)2 %3D

A: The given two curves are fx=x  and  gx=x-22. Evaluate the intersection points of the two curves as…

Q: find the area between f(x)=x^2-16 and the x axis from x=0 to x-=9

A: The given function is fx=x2-16 We have to find the area between fx and the x-axis from x=0 to x=9

Q: 6. Find the number a such that the line x = a bisects the area under the curve y = 1 1< x < 4.

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Q: Vhat is the area between the following curve and the x-axis, over the interval: x E [-1.5,1.5] g(x)…

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Q: Find the area between the curves, f(x) = ;x² and g(x) : - x over the interval [0, 2] 10 3 - 1/3 2.

A: We first sketch the region

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: Use the Fundamental Theorem of Calculus to find the "area under curve" of f(x) = 4x + 11 between x =…

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Q: Approximate the area under the curve of y = x - 2x + 3 over the interval x=-1 to x = 3 using 4 right…

A: Find out the area under the curve using 4 right endpoint rectangles.

Q: Solve. 1. Find the area of the region between the function f(x) = 4x + 1 and the x– axis on the…

A: Note :As per our guidelines we are supposed to answer only one question if there are multiple…

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: Use the Fundamental Theorem of Calculus to find the "area under the curve" of f(x) = 4x + 7 between…

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Q: -X Find the area bounded by : f(x)=e*, g(x) = ex and x=3.

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Q: Area under the curve?

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