Jse the Fundamental Theorem of Calculus to find the "area under curve" of f(x) = 2 + 9 %3D petween x = 8 and a = 12.

Q: Frn d the area bounded between and Y= 2 JX fron x-1 o x=4 メニ人

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Q: 29) Find the area bounded by the curves y= In x, y = 2 In x and line x-e in the first quadrant.

A: I have given the answer in the next step. Hope you understand that

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

A: Given: a2y=x3

Q: c) Estimate the area under the graph of f(x) = sin x from x = 0 to x = using four approximating…

A: Given function is fx = sinx x∈0,  π2 number of rectangles = 4 Step size  h= π2 -04   = π8 ⇒ h = π8…

Q: Solve the area covered by the x-axis and f(x) = e^x from x= 1 to x = 4 with interval h = 0.25 using:…

A: ∫abf(x)dx≈Δx(f(x0+x12)+f(x1+x22)+f(x2+x32)+⋯+f(xn−2+xn−12)+f(xn−1+xn2)) Mid point rule and…

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: Find the area under the graph of y = x² + l over the interval [-1, 2]. In this case, f(x) = x² + 1,…

A: area of graph within limits given by integrating function within limits

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: Find the survace area of revolution about the x-axis of y= 4sin(2x) over the interval x is greater…

A: Given: The curve y=4sin2x for 0≤x≤π2 To find: Surface area of revolution of given curve about…

Q: 9. Find the area under the curve y (x + 2)? over the interval [ – 1, 1]. area

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Q: Find the area under the curve y = 3x 2 from = 1 to x = 2 .

A: We have to find the area of the given curve.

Q: Find the area under the curve y = 5 over the interval [0, 1]. (4x + 4)2 Enter the exact answer. area…

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Q: c). Find the area under the curve f(x) = 4x +2x over the interval (5,8)

A: Given,            fx=4x3+2x , the interval is 5,8To find : Find the area under the curve over the…

Q: by the x-axis (y = 0)

A:

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

A: We have to find the area between the curve y=x2+3x+2 and the x-axis from x=-1 to x=1.

Q: Find the area under the curve: 1. y = 3x? from x = 1 to x = 2

A: we have to find the area under the curve y=3x2 from x=1 to x=2

Q: sin(z)

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Q: Find the exact area between the curve f (x) = 9 – x², the x-axis, and x=-3 and x=3.

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Q: y =9-x? 2y = x² -3x +12 13. Find the area bounded by these two curves: and

A: Given: y=9-x2 2y=x2-3x+12

Q: Find the area bounded by the curve f(x) = -x² + 10 and the x-axis. Give your answer correct to two…

A:

Q: The area that lies between Z= 0.56 and Z= 0.89 is?

A: GivenThe area lies between z=0.56  and z=0.89

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

A: y = x-x2 ; [0, 1] y = 4/x; [1, 3]

Q: Approximate the area under the curve y=f(x)=1/x  on the interval [1,4] , Using 3 rectangles

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Q: y = x y = 1 1 y = →x 1 b. 2.

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Q: Use the Trapezoidal Rule to approximate the area under the curve ƒ(x) = 3x² x on the interval [2,…

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Q: Find the area under the curve y 24 over the interval [ – 1, 1]. (x + 2)? area = i

A: By Solving area under curve

Q: Using the fundamental theorem, find the area under the curve y = 4x3 −2x+5 and above x-axis on the…

A: Fundamental theorem: To find the area under the curve y=f(x) between x = a and x = b, simply find an…

Q: 2. Find the Area bounded by the curve y = 4-x? and the x-axis.

A: Topic = Area

Q: Q/ A/ Find the area between the curve y 3x- x² and the x-axis

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

A:

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

A:

Q: Sinx Estimate the integral f doe using Compasite trapezoidal rue with h=0•25

A:

Q: Find the area under the curve y = a²xe¬b²x from x = 0 to x = 5.

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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: Use the Fundamental Theorem of Calculus to find the "area under curve" of y = + 7x between x = 3 and…

A: Given :

Q: 11. Find the area bounded by the curve y² + 2x - 2y - 3 = 0 and the y-axis.

A:

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: Find the area between the curves y -0.2x e and y = 2.4x +1 from x=0 to x=2

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Q: Find the area between the x-axis and the curve y = √1 + cos 4x, 0 ≤ x ≤ π.

A: Given that, Curve y(x)=1+cos4x We have to find the area between the x-axis and the curve 'y(x)'. As…

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

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

A:

Q: 4. Find the surface area of the function x when revolved around the x-axis. between x=0 and x1

A: When a curve is revolved about an axis, we obtain a surface and there are several pre-defined…

Q: Use the Fundamental Theorem of Calculus to find the "area under curve" of y=-x² + 7x between x = 1…

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

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Q: 5. Find the area bounded by the curve y e, x- axis and y- axis. С 2 A 0 В 1 D Infinity

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Q: Find the area between the curves y = e0.3se y = 1.9x + 1 from x = 0 to x and = 5. Area =

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Q: Find the area under the curve y = 6. over the interval [ - 1, 1]. (r+ 2)?

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Q: Find the area enclosed between the X-axis and the curve y = (x +1)°,0 < a < 3.

A: The area under a curve is the area between a curve fx and the x-axis on an interval a, b given…