Find the area of the region endosed by y = 0.75x and z = 5.5 – y?. -4 -3 -2 -1 1 2 3 4 5 -2 Use horizontal strips to find the area, that is, integrate with respect to y. First find the y coordinates of the two points where y = 0.75z meets z = 5.5 – y². lower limit c = and upper limit d = To find the area of the endosed region from c to d we will integrate: g(2)dy where g( y ) = Evaluate the definite integral to find Area =

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A: Area of the region shaded below÷

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A:

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A:

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A:

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A:

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A:

Q: B. Find the area of the region bounded between the curves y = Vx + 3, y (x+ 3)/2

A:

Q: Find the area of the region under the given curve from 1 to 2. 15 y = x3 + 4x

A: We have to find area under the region from 1 to 2

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Q: 1) Find the area bounded by curve y = xvx2 + 1 and the lines x = 0, x = 4 an %3D the x-axis.

A:

Q: Q2/ The region bounded by the curve y = x² and the line y = 3x, in the first quadrant is revolved…

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Q: Find the area of the region bounded by the given curves. y = 1- 2 x2, y =|x|

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A:

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A: We will find the area of the region.

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A: Solve by integration

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A:

Q: a. Find the area of the region bounded by the curve y = x³ and the line y = 4x. ovis for

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Q: 3. Find the area of the region bounded by the curves y = 1 (x+1)2/ the x-axis using vertical strip.…

A: Solution :

Q: Find the area of the given region y = tanh 2x

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A:

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A:

Q: 4. Find the area of the region bounded by y = sin x) and y = x² – 8x. Be sure to provide a graph of…

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A:

Q: 4. Find the area bounded by the curve r = 3y – y? and the line y + x 3.

A:

Q: Find the area of the region bounded by the curves: y = cos(nx) and y = -1+ 4x²

A:

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A:

Q: 1. Find the area of the region bounded by the graphs of y = r and y = = Vx, from r = 0 to r = 2. 2

A:

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A:

Q: Find the area of the region bounded by the curves y = e", y = e¯, x = -2, and x = 1.

A: y=ex, y=e-x, x=-2 and x=1. The graph is,

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A:

Q: 3. Find the area of the region bounded by the curves y = x² and y = x/x+2. .

A:

Q: Find the area of the region bounded by the curves: y = cos(nx) and y = -1+4x2

A:

Q: Find the area of the region between the curves y=x and y=x^3 on the interval [-1, 1]

A:

Q: Find the limits of integration for the area of the region enclosed by the graphs x = 2y2 and x · y =…

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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.