Suppose ƒ(x) = -5. What is the net area of the region bounded by the graph of ƒ and the x-axis on the interval [1, 5]? Make a sketch of the function and the region

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: Suppose the area of the region between the graph of a positive continuous function ƒ and the x-axis…

A: The area between the curves f(x) and g(x) can be given by the integral

Q: Sketch the region bounded by the graphs of the functions. y = x3 - 6x, y = -2x² – 3x

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Q: Use left and right endpoints and the given number of rectangles to find two approximations of the…

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Q: fV5+ 4x – x² dx

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Q: What is the area of the region between the graphs of y = x – 1 and y : -X – 1

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Q: Find the area of the region under the graph of f(x) = 2x² – 4x + 2 on [–2, 3].

A: Given  f(x) = 2x2-4x+2 The graph is

Q: Find the area of the region enclosed between these graphs and the vertical lines x=3 and x=4.…

A: Here we used area between the two curves

Q: Find the area of the region between the graphs of the functions f(x) = -Vx and g(x) = 2 - x on [3,…

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Q: Graph the curve Y = - 2 x (x - 4)(x + 6)(x - 2) between the value of x [0, 4], then find the area of…

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Q: Sketch the region bounded by the graphs of the equations (include representative rectangle) f (x) =…

A: Recall: Area Bounded By the Curves :  If f(x) and g(x) are two continuous function and f(x)≥g(x) on…

Q: Find the area of the region bounded by the graph of y=x^2 -3x -4 and the -axis. y + 2 1 3 -1 -4 -5…

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Q: 8. Find the area of the region bounded by the graph of f(x) = 8 – x², the x-axis and the vertical…

A: Draw a schematic graph and area under the curve of given question,

Q: sketch the region and use the limit definition to find the area of region between the graph of f(x)…

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Q: Find the total areas of the regions a. Between the graph of f(x) = 1- Vx and the x-axis for 0 < x <…

A: Given:        fx=1-x interval 0≤x≤4  Total area of the region between the curve fx and the x-axis…

Q: f (x) = x² + x – 6 - 6

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

Q: on

A: Find the area of the region between the graph of fx=1x and the x-axis on the interval [1,9]

Q: Use left and right endpoints and the given number of rectangles to find two approximations of the…

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Q: Use left and right endpoints and the given number of rectangles to find two approximations of the…

A: Use left and right endpoints and the given number of rectangles to find two approximations of the…

Q: Find the area of the region under the graph of f (x) = 4 − x2 over [0, 2].

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Q: Use right and left endpoints and the given number of rectangles to find bwo approximations of the…

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Q: Find the area of the region between the graphs of the functions f(x) = -Vx and g(x) = 2 – x on [3,…

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Q: Find the area of the region bounded by the graph of g(x) = (x − 4)^4 and the x-axis between x = 2…

A: From the given curves

Q: Use left and right endpoints and the given number of rectangles to find two approximations of the…

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Q: Use left and right endpoints and the given number of rectangles to find two approximations of the…

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Q: Find the area of the region bounded by the graphs of f(x)=x^3-x^2+10x and g(x)=-x^2+26x

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Q: Sketch the region bounded by the graphs of the equations f(x) = 3√x − 1,   g(x) = x − 1 and find the…

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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…

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Q: calculate an area of ​​the region bounded by the curves   f(x)=x³+2x-1 and g(x)=3x-1

A: the given curves are     to find the bounded region first we have to identify the intersection…

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 under the graph of f(x)=2x2−4x+2 on [−2,3].

A: The area can be calculated using the concept of definite integral.

Q: Find the area of the region that is completely bounded by the two curves f(x) = x* g(x) = 3x + 20. -…

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Q: Use the left endpoint and 10 rectangles to find an approximation of the area of the region between…

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Q: Find the area of the region lying to the right of x = y2 - 5 and to theleft of x = 3 - y2.

A: Given: f(y)=y2-5 and g(y)=3-y2 To find: Where the curve intersect and it is calculated when…

Q: Use left endpoints and 6 rectangles to find the approximation of the area of the region between the…

A: Let's find.

Q: Find the area of the region between the graphs of the functions f(x) = -/x and g(x) = 2 – x on [3,5]

A: Given :

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

A: f(x)=2-x2, g(x)=x

Q: Consider a graph of f(x)=x3−2x2+2 and f(x)=x. Find the area of the region bounded between the curves…

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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 bounded by the graph of f(x) = x(x + 2)(x - 1) and the x-axis on the…

A: Area of the region bounded by f(x) and x- axis

Q: Find the area of the region bounded by thegraph of ƒ and the x-axis on the given interval.ƒ(x) = x3…

A: Given function f(x) -f(x) = x3-1Intervals = -1, 2Let's first draw the curve of f(x) over the given…

Q: The exact area of the region bounded by the graphs of y = x² + 2, and the x – axis from x = -1 to x…

A: Given graph of y=x2+2we need to find the area of the graph and the x-axis from x=-1 to x=2

Q: Use left and right endpoints and the given number of rectangles to find two approximations of the…

A: The Left Riemann Sum (also Left Endpoint Approximation) uses the left endpoints of a subinterval.

Q: Consider the region bounded by F(x)=10x3 +7x2 -7x +6 and g(x)= 9x3 +8x2 - x +6. Find the area, in…

A: Given query is to find the area bounded by the curves for the given intererval.

Q: Find the area of the region lying under the graph of f(x) = √4 x from x = 1 to x = 16.

A: It is given that,                 f(x)=4x from x=1 to x=16We have to find the area of the region…

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: Use left and right endpoints and the given number of rectangles to find two approximations of the…

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Q: Use the limit process to find the area of the region between the graph of the function and the…

A: Given:Use the limit process to find the area of the region between the graph of the function and the…

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-

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.