Find the area of the region under the graph of f(x) = In(x) from x = 7 to x 14.

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: Approximate the area under the curve of y = -+x+5 over the interval x = -1 to x = 4 using 5…

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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: The function is given as fx=cos x The interval is given as 0, π2

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: 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: Find the area under the curve y=f(x)=x^3 from x=1 to x=3 using inscribed and circumscribed…

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Q: Approximate the area under the curve f (x) = x + x² over the interval [0,4] with n subintervals.

A: Approximate the area under the curve f(x)=x+x^2 over the interval[0,4]

Q: 12) Find the area of the region between the curve y = 22-X and the interval 0 < x < 2 on the х-ахis.

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Q: 4. Find the area bounded by the curves y = 2x – x2 and the x-axis

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Q: Set up the definite integral that gives the area of the region bounded by the graph of y,-x+2x+1 and…

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Q: Find the area between the curve y (2.x + 3)2 and the x-axis, from x = -2 to x = 3.

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Q: Find the area of the region under the graph of f(x) = ln(x) from x = 3 to x = 11.

A: Given function : f(x) = ln(x) To find the area of the region from x=3 to x=11 To find the area of…

Q: 28 Find the area of the region bounded by the curve y = (x-1)' and the x-axis from x=0 to x= 2.

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Q: Find the area A of the region R between the graph of f(x)= (x^2)/(4-x^2)^(1/2) and the x-axis on the…

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Q: Find the area of the region between the curves y = x x-1 and y =-2x+2 from x = - 1 to x= 1.

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Q: Find the area of the region under the graph of f(x) = e−x/3 from x = 12 to x = 27.

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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: What is the area of the region between X |y=x2–2x−3 and the x-axis from x=0 to x=4?

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Q: Find the area bounded by the curve y=11+5x+x^2 and x-axis from x=−3 to x=−1

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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: Find the area A of the region R between the graph of f(x) = and the x axis on the interval V4– x2…

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

A: Given function is - f(x)=6x We need to find area of the region  under the graph of f(x) on interval…

Q: Find the area of the region under the curve y = 6x² + 4x + 5 from x = -1 to x = 2.

A: Solve the following

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

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Q: Find the area of the region under the graph of the function f on the interval [1, 5]. f(x) = 3x³…

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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: Find the area of the region bounded by f(x) = -x² – 2x + 3, x-axis, and interval [0, 2].

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Q: Find the area of the region bounded by the curves y = -x² – 3x + 4 and y = x2 – 3x – 4.

A: We first sketch the region using a graphing calculator y=-x2-3x+4 (violet) y=x2-3x-4 (black)

Q: Find the area of the region bounded by y²-x=0 and y²+x=2₁

A: Find the area of the region bounded by y^-x=0 and y^+x=2

Q: Find the area of the region between the curve y = 21-x and the interval -1≤ x ≤ 1 of the x-axis.

A: Given: y=21-x, -1,1

Q: What is the area of the region between the graphs of y=x^2 and y=-x from x=0 to x=2?

A: The equation of the curves are : C1 : y = x2C2 : y =-xC3 : x = 0C4 : x = 2 To evaluate : The area of…

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: What is the area of the region between y=x^2-2x-3 and the x-axis from x-0 to x=6?

A: Given,      y= x2-2x-3and the x-axis  from  x=0 to x=6.

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 the function f on the interval [1, 4]. f(x) = 8/x…

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Q: Find the area of the region between the curve y = 2x/(1 + x2) and the interval -2&lt;= x &lt;=2 of…

A: Find the area bounded by curves

Q: How do I solve this problem?

A:

Q: Find the area of the region between the graphs of y = 13 – x² and y = over the interval 3 < x < 8. –…

A: Solve by integration

Q: Find the area of the region between the curves y=x2-1 and y= - 2x² +2 from x= - 1 to x=1.

A:

Q: Find the area under the graph of f(x) = r² + 5 between x = 0 and = 6. %3D

A: The function is given by fx = x2+5 To evaluate: The area under the graph of the function fx between…

Q: Find the area of the region R under the graph f (x) = x^2 on [0, 1]

A: Find the area of the region R under the graph f (x) = x2 on [0, 1] .

Q: Find the area under the graph of y = g(x) from -2 to 5, where x³, 4 – x, x 1 -

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Q: What is the area of the region between y =x-2x-3 and the x-axis from x=0 to x-9?

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Q: What is the area of the region between the graphs of y = x3 and y = -x from x = 0 to x = 2

A: Area between curves

Q: Find the area of the region under the graph of the function f on the interval [1, 3]. Flx) = 5x3

A: f(x) = 5x3 To find the area of the region under the graph of the function f on the interval [1, 3]

Q: Find the area of the region bounded by the graph of f(x) = x sin x and the x-axis between x = 0 and…

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Q: Find the area of the region under the graph of the function f on the interval [1, 9]. f(x)=8/x

A: Given:

Q: What is the area of the region between  y=x^2 -2x-3 and the x-axis from x=0 to 6?

A:

Q: Find the area bounded by the curve y=10+4x+x^2 and x-axis from x=-3 to x=-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.