Find the area of the region under the graph of the function fon the interval [-1, 2]. f(x) = 4x2 + 5 square units

Q: Find the area (in square units) of the region under the graph of the function fon the interval [0,…

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Q: find the area of the region bounded by the functions f(x)=−13x+2 and g(x)=2x−1 over the interval…

A: The given functions are: fx=-13x+2, gx=2x-1 over that interval -2,1 Calculate the area of the region…

Q: Find the area of the region under the graph of the function fon the interval [0, 61. f(x) = 6x- x2…

A: We will find the area of the region under the graph of the function f(x)=6x-x2 on the interval [0,6]

Q: Find the area of the region under the graph of the function f on the interval [1, 4], f(x) = 6Vx 32…

A: We have to find area under the graph.

Q: 3) Find the area of the region bounded by the graph of f(x) = (x - 5)2and the x-axis between x %3D…

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Q: Find the area (in square units) of the region under the graph of the function f on the interval [3,…

A: Area under the curve over the given interval:3, 6Area: ∫abf(x) dxA =∫36 (8ex-x) dx   =8ex -x2236…

Q: The function f(x) = x² – 8x + 12 is positive on (0, 2) and (6, 10) and negative on (2, 6). Find the…

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Q: Find the area of the region under the graph of the function f on the interval [-27, -1]. f(x) = 2 –…

A: The given function is fx=2-x3 and the given interval is -27,-1. We know that the area of the region…

Q: Find the area on the graph? Integral-related question

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Q: 2. Determine the area of the region bounded by the curve y = x³ - x² - 2x, and a. the x-axis the…

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Q: Find the area of the region under the graph of the function f on the interval [4, 11]. f(x) = 2x - 2…

A: use integral to evaluate the are bounded by curve over the interval

Q: Find the area of the region under the graph of the function f on the interval [5, 11]. f(x) = 4x - 6…

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Q: Find the area (in square units) of the region under the graph of the function f on the interval [1,…

A: The area of a curve f (x) on an interval [a, b] is given by,     Here, the given curve is f (x) =…

Q: f (x) = x² + x – 6 - 6

A: By using area bounded by curve formula, we calculate the required area.

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

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Q: Find the area of the region under the graph of the function fon the interval (1, 3]. Flx) = Sx3…

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Q: Find the area of the region bounded by the graph of ​f(x)=sin x and the​ x-axis on the…

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Q: R is the region bounded by the functions f(x)=4/x and g(x)=x/4. Find the area of the region bounded…

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Q: f(x) = (e* – x); [0, 2]

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Q: Find the area of the region bounded by the graph of f(x)=sin x and the​ x-axis on the interval…

A: Formula used:∫sinxdx=-cosx+C   , C is the constant of integration

Q: Find the area of the region under the graph of the function f on the interval [a, b]. f(x)=ex-3;…

A: Area under curve

Q: e area of the region under the graph

A: Given that: The equation of the curve is f ( x) = 8x - 9,   [ 5, 6].

Q: Find the area (in square units) of the region under the graph of the function fon the interval [0,…

A: We need to find area under the region of the graph of the function  f(x)8ex on interval [0,5] First…

Q: Find the area (in square units) of the region under the graph of the function f on the interval [-1,…

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Q: Find the area of the region under the graph of f(x) = eX2 from x = 8 to x = 12. O e-6(e? - 1) ㅇ 글et…

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Q: Find the area of the region under the graph of the function f on the interval [-27, -1]. f(x)=…

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Q: Find the area (in square units) of the region under the graph of the function f on the interval [-3,…

A: Given the functionf(x)=−x2+9

Q: Find the area of the region under the graph of the function f on the interval [3, 5]. 6. f(x) =

A: f(x)=6x2 The area under the curve y=f(x) on the interval [a, b] will be given by  A=∫abf(x)dx

Q: Find the area (in square units) of the region under the graph of the function f on the interval [5,…

A: Area=∫abf(x)dx

Q: The function f(x) = x² – 8x + 12 is positive on (0, 2) and (6, 10) and negative on (2, 6). Find the…

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Q: If R is the region bounded above by the graph of the function f(x): = x + 4 and below by the graph…

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Q: f (x) = 1/Va; [1,9]

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Q: Find the area of the region under the graph of the function f on the interval [0, 10]. f(x) = 10x -…

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Q: R is the region bounded above by the function f(x) = −2x+1 and below by the function g(x) = 2x/3 − 8…

A: Area bounded by two functions f(x) and g(x) over the interval [a, b] can be determined as…

Q: Find the area of the region under the graph of the function f on the interval [1, 4]. f(x) = 5Vx…

A: The function is given by fx = 5x To evaluate : The area of the region under the graph of the…

Q: f(x) = x, and g(x) = 3 x 2

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Q: Find the area (in square units) of the region under the graph of the function f on the interval [-1,…

A: Area Under the Curve Formula     The area under a curve between two points is found out by…

Q: find the area of the region under the graph of the function f on the interval [0,3] f(x) = 3x-x^2

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Q: find the area of the region under the graph of f on [a,b] f(x) = x^2 -8x +18 ; [-1 , 2 ]

A: The area under the curve is given by:

Q: Find the area of the region under the graph of the function f on the interval [1, 4]. f(x) = 8/x…

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Q: Find the area of the region enclosed between f(x) = 0.8x+ 10, g(x) = x, x = -7, and r = 8 Area =

A: Given, f(x)= 0.8x²+10 g(x)= x x=-7 and x= 8

Q: Find the area of the region enclosed by f(x) and the x-axis for the given function over the…

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Q: Find the area of the region under the graph of the function f on the interval [4, 5]. 9 f(x) = -2²/2…

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Q: (a) Evaluate the integral (cosx+ (b) Find the total area between the region and x-axis…

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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: 2x from x = 0 to x = 3. %3D Find the area of the region bounded by the graph of y = x2 +1

A: G

Q: f(x) = e-=/2; [-1,2]

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Q: Find the area of the region bounded by the graphs of the algebraic functions. f(x)=x^2-14x g(x)=0

A: SOLUTION-

Q: Find the area of the region under the graph of the function f on the interval [3, 7]. f(x)=6ex -x

A: To find the area of the region under the given function on the interval [3,7].