f (x) = x – 2x – 3

Q: 1. Find the area bounded by the parabola y=4ax, the x-axis, and the lines x=4a, x=9a.

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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 of the region enclosed between f(x)=x^2−2x+4 and g(x)=2x^2−3x−2.

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Q: (b). Find the area of the region enclosed by the graphs of f(x)=x² -x and g(x)=2x.

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Q: f(x) = 4x1/3 + x4/3 Find the area of the region bounded by the graph of the function f and the…

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Q: a. Find the area below f(x) = -x² + 4x + 3 and above g(x) = -x³ + 7x2 – 10x + 5 over the interval 1…

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Q: Use the Midpoint Rule with n = 4 to approximate the area of the region bounded by the graph of the…

A: We have to use the Midpoint Rule with n = 4 to approximate the area of the region bounded by the…

Q: The area of the region enclosed by the graphs of y=x and y = x² – 3x + 3 is A в 1 D 2 14 E 3

A: Find the area between the curves

Q: Let b 1 be an integer. The area of the region bounded by the graphs of the functions y = 20bx and y…

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Q: Find the area of the region bounded by the graph of f(x) = 4 − x2, the x-axis, and the vertical…

A: Given curves: The graph is:

Q: Let f (x) = |x³ + 216|| Find the area A of the region between the graph of f and the x axis on the…

A: Let the function given is  f(x)=|x3+216|

Q: x2 – 7x + 20 and Find the area of the region bounded by the graphs of the functions y = y = 2x + 6.…

A: Given, Functions  y =x2 -7x+20  and y =2x+6 We have to find the area of region bounded by the graphs…

Q: Find the area of the shaded region. f(x) = -x3 + x2 + 16x 30- 20- 4, 16) 10 g(x) = 4x %3D 6 X (3.-12

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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 area of region f(x)=x2+4x+4 g(x)=4x+13

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Q: f (x) = x² + x – 6 - 6

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

Q: Find the area of the region bounded by the graph of f and the x-axis on the given interval.…

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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: Find the area of the graph of the function f(x, y) + y3/2) that lies over the domain [0, 1] × [0,…

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Q: Determine the area, in square units, bounded above by f(x)=−x2−8x and g(x)=3x+24 and bounded below…

A: Topic = Application of integration

Q: Determine the area, in square units, of the region bounded by g(x)=−10x+11 and f(x)=x^2−5x−13 over…

A: Solve the following

Q: Find the area of the region under the graph of f on [a, b]. f(x) = x² - 6x + 13; [−1, 2]

A: To find the area of the region under the graph of f(x)=x2-6x+12 on the interval [-1,2].

Q: Find the area, if it exists, of the region between the curve and the x-axis on the given interval.…

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Q: Find the area of the region under the graph of f on [a, b]. f(x) = x2 – 6x + 14; [-1, 2]

A: Given  function is  : f(x) = x2 - 6x + 14  ; [ -1, 2 ] Method to find area under the curve : The…

Q: Q2) Find the area of the region bounded by the (y=v-x ), (y2=x+2) & ( y3=0).

A: Take strip along x axis and solve it.

Q: Find the area of f(x) = 3 +2x – x² above the x-axis.

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Q: Find the area of the region bounded by the y-axis, the line x = 3, and the functions f(x) = 1/2 (x^2…

A: Consider the functions fx=12x2-3x+10 and gx=-13x-1 Find area of region bounded by the y-axis x=0 and…

Q: Determine the area, in square units, bounded above by f(x)=−x2−10x−16 and g(x)=2x+16 and bounded…

A: Given: fx=-x2-10x-16gx=2x+16 We need to find the area bounded above by fx and gx and bounded below…

Q: Determine the area, in square units, bounded above by f(x)=−x^2−10x−16 and g(x)=2x+16 and bounded…

A: Given that fx=-x2-10x-16gx=2x + 16 The objective is to find the area of the region which is bounded…

Q: Use the Midpoint Rule with n 4 to approximate the area of the region bounded by the graph of the…

A:

Q: 1. Determine the area of f (x) = 3 + 2x – x² and above the x axis. - X - 3x 3 3 2. Determine the…

A: To find the area of f(x) and above the x-axis, use the formula, A=∫-13f(x)dx and substitute f(x)…

Q: (b) Find the area of the region between the x-axis and the graph of f(x)=3x² – 3, where -2<xs2

A: The given graph is: fx=3x2-3, -2≤x≤2 The region is between this graph and x-axis.

Q: Find the area of the region bounded by the graphs of f (x) = x³ and g (x) = x. (A) 1 c) 0.5 3.

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Q: Find the area of the region under the graph of f on [a, b]. f(x) = x2 – 8x + 20; [-1, 2]

A:

Q: Let f (x) = |x3 + 216| Find the area A of the region between the graph of f and the x axis on the…

A: given area can be found as below :

Q: Find the area of the region under the graph of the function f on the interval [-2, 1]. f(x) = -x2 +…

A:

Q: (b) Find the area of the region between the x-axis and the graph of f(x)=3x² - 3, where -2<x<2

A:

Q: (b) Find the area of the region between the x-axis and the graph of f(x) = -x - 2x, where -3s x<2

A: Explanation and solutions is given below....

Q: The area of the region bounded by the graphs of f(r) 2– a and g(x)=r is A-

A: Here we will find out the required value

Q: Find the area, in square units, bounded above by f(x)=x2+4x+4 and g(x)=9x+54 and bounded below by…

A:

Q: Estimate the area between the x-axis and the graph of f(x) = 9 – 2° over the interval [0, 3] by…

A: Given function is f(x)=9-x2 we have to find the area over interval [0, 3]. Since there is 3…

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

A: Given fx=9x2-6x-5        1,4

Q: (a) Sketch the area of the region bounded by f(x) = 3– y² and f (x) = x- 1.

A: As Q(b) is not given completely then I am solving only Q(a). Kindly post remaining question as next…

Q: Find the area of the region between the x-axis and the graph of f (x)= x' – 4.x² + 3x, Osxs2. .

A:

Q: Find the area, in square units, bounded above by f(x)=x2+8x+16 and g(x)=x+10 and bounded below by…

A: The given functions are fx=x2+8x+16 and gx=x+10 .

Q: Q1: Find the area of the region between the x-axis and the graph of y =x' - 3x +2x, where 0sx<2

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Q: Find the area between the y-axis and the graph X = -y + 5y – 4 on the interval [1, 4]. 3- 2- 54 3-2…

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Q: Find the area, in square units, bounded above by f (x) = –x² + 10x – by the x-axis over the interval…

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Q: The total area bounded by the graph of y = x2 –- 1 and the x-axis is represented by :Select one L…

A: The correct option is d. Plot the curves and find the region for the area between the curves. The…

Q: f (x) = x – Vx; a = 0, b= 1

A:

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.