2. Express the shaded area of the region shown below by double integrals of order of integration (1) dydx and (2) dxdy, then calculate the area. (1, 1) -1 1

Q: Find the area of the region bounded by 2x and the y-axis using the horizontal strip. 4 12 y² +1

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Q: Find the area of the region between the functions y = (x – 5)3,y = x – 5.

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Q: 2 dydx 2x

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Q: ter performing the calculations, swap the order of integration and count the integral again.

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Q: When x=-y2 and y=x+12, draw the graph and let the​ region's area as an iterated double integral,…

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Q: Find the area of the region between the curves 4x + y = 12 and x Area between curves = %3D

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Q: 6. Find the area of the region in the first quadrant which is bounded by y = 3x -8 and y=4-x a) 20/3…

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Q: Evaluate the area between x = y2 - 4y and x = 2y - y2.

A: Consider the given function as x=y2-4y and x=2y-y2

Q: Find the measure of each angle indicated. 50° 50° 55° ? 25°

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Q: Find the area of the region between y2=x and x=y+2

A: The area between curves is the area between a curve fx and a curve gx on an interval a, b given by…

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.