Find the area of the region belowy = x3x+5 and above y = 3 for 3 < x <6. Area =

Q: Find the area of the region bounded by the graph of the function f (x) = x, the X−axis, and the…

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Q: Find the area of the region between the graph of y=x+2, above x-axis, and between the lines x= -1…

A: Given:

Q: Find the area of the shaded region.

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Q: Find the area of the region bounded by y = 3x - x² and the x- axis. 9/4 9/7 9/2 9/5

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Q: Find the area below the x-axis and bounded by the curve  y=1-2x for 5<=x<=7.

A: The given curve is: y = 1 - 2x;  where 5 &lt;= x &lt;= 7 The graph is as follows:

Q: Find the area of the region bounded by y=(x-1)^2 and y+x-3+0

A: We need to find the area bounded by the two curves Lets graph both the equations in a single plane…

Q: y= -x² + 9; 0 sxs5 x< + 9; 0 < x< 5

A:

Q: Find the area of the region bounded by y=x^2, the x-axis and the line x=2.

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Q: Find the area of the region bounded by the graph of f(x) = x² + 1, the x-axis and the vertical lines…

A: Explanation of the answer is as follows

Q: Find the area of the region bounded by the graph of y = x /(x2 + 1) the x-axis, and the line x = 3

A:

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

A: The given equation forms a downward parabola.

Q: Find the area of the region bounded by y=x^2 and y=15-2x

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Q: Find the area of the region above the curve y = x^2 - 6, below y = x, and above y = − x.

A: Given region bounded above by  y=x2-6  and y=-x  and bounded below by y=x

Q: Find the area of the region bounded by the curve f(x) = ex -3 and the x-axis , and between x = 0 and…

A: The region bounded by the curve f(x) = ex -3 and the x-axis , and between x = 0 and x = 2 is as…

Q: Find the area of the “triangular” region bounded on the left by y = √x, on the right by y = 6 - x,…

A: Concept: The simplest area calculations are for squares and rectangles and to find the area of a…

Q: Find the area of the shaded region. f(x) = 10x – 3x - x°, g(x) = 0

A: We have to find the area of the shaded region. f(x) = 10x-3x2-x3,  g(x) = 0   The graph is

Q: Find the area of the region between x = 2y and x = y3 — y.

A: Given x=2y and x =y3-yThe area between f(x) and g(x) are two continuous functions and  f(x)≥g(x)  on…

Q: Find the area of the region bounded by the graphs of the equations.                 y = 8 − x,    x…

A: If f(x) is continuous on [a, b] then area of the region bounded by f and x axis is, A=∫abf(x)dx

Q: Find the area of the region above the curve y=x²-6, below y=x, and above y=-x.

A: Let's find area of region.

Q: Find the area of the region between the graphs of the equations = x and y = 2 – x.

A:

Q: problem in photo attached

A: Given,

Q: Find the area of the region bounded by the curve y = 9 - x2 and the x-axis. Answer:

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Q: Find the area of the region bounded by the graphs of the functions y=9-x² and y=x+3.

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Q: Find the area of the region by bounded by the graphs of y=x2+2x and y=-x+4 on the interval [-4,2]

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Q: Find the exact area of the region bounded by the x-axis and the graph of y = x - x. Area =

A: Solve for area

Q: Find the area of the region bounded by the curves y = xe3x-+3 x-axis and the lines x = 0 and x = 1.…

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Q: Find the area between the curves y = x2 - 8 and y = 4 - x.

A: Explanation of the answer is as follows

Q: Find the area of the region between the line y = 2x and the curve y = x2 + x − 2

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Q: Find area of the region under the curve y = 5x - 4 and above the x-axis, for 3 < x < 5.

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Q: find the area bounded by the curve y=9-x^2 and the x-axis

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Q: find the area of the region bounded by the curves y=12x/(x^2+4) the x-axis x=1 and x=4

A: The region corresponding to the equations is given below, Consider an elemental vertical strip of…

Q: Find the total area of the region between the curve and the x-axis. 7) y = 2x - x2; 0 sx<2

A: Given, The curve  y = 2x-x2   ;  0≤x≤2 We have to find the area of region between the curve and the…

Q: Find the area of the region bounded by x = 4- y and y = x– 2.

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Q: Find area of the region under the curve y=x^3−9 and above the x-axis, for 5≤x≤7. area=

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Q: Find the area of the region enclosed between the curves y= 4 -x^2 and x=3 and x-axis within the…

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Q: Find the area of the region above the x-axis bounded by the function y = 4x - x2 – 3

A:

Q: Find the area of region enclosed by the curve y = x' -4 x +3 and the line y =3.

A:

Q: Find the area of the enclosed region bounded by the graphs of y=e^x, y=x, the y-axis and the line…

A: Here we have to find the area of the enclosed region bounded by the graphs of y=ex,y=x,the y-axis…

Q: Find the area of ​​the region bounded by the curves y = x2ln (x) and y = 4ln (x).

A: From the given curves the bounded region is as shown below.   First, we have to find the point of…

Q: Find the area of the region bounded by the graph of the function y = the x-axis, and the lines x = 4…

A: Definition used-                 The area under the curve of a function f(x) is given by -…

Q: Find area of the region under the curve y=8−3x^2 and above the x-axis

A: First we find where y=8−3x2 cuts x axis. We set y=0 and solve for x

Q: Find the area of the region above the curve y = x2-6, below y= x, and above y=−x.

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Q: Find the area of the region bounded by the curves: y=x^2+2x  and y=-x+4

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Q: Find the area of the region bounded by the curve y=x^2-3x the x-axis and the lines x = 1 and x = 2.

A: This question is based on application of integration.

Q: Find the area of the region bounded above by y = -x² + 4 and below by y = x - + 54-324 2,345 ມາຜ່າ !

A: Given y=-x2+4 and y=x-2

Q: Determine the area of the region bounded by x = –y² + 10 and x = (y – 2)².

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Q: Estimate the area of the region under the curve        y = -x3 + 5 and above the x-axis for…

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Q: Find the net area and the area of the region bounded by the function y=5-|x| and the x-axis between…

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Q: Find the area of the region bounded by the curves y = x +2x and y=-x² +4.

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Q: 2 x = 8 – y, x=y¯ - 8 ?, x =y² - 8

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.