State the area of the region, determined by the lines, y = 8x, y = 4x +2, y 8x - 10, y = 4x +4 with proper uv-transformation. %3D i. integrand function (ir. ii. the limits of u iii. the limits of v (.. Lütfen birini seçin: Oi. 12 ii. 0 s u s10 ii. 2 s v< 4 Oi. 1/4 ii. 0 s us 10 ii. 0 s v 34 Oi. 1/4 ii. 2 s us 10 ii. Os vs 4 Oi. 1/4 ii. 0 sus 10 ii. 2 s V S 4 Oi. 1/ 12 ii. 2 s us 10 ii. 2 s v s4

Q: Q4. : Find the area of the region R enclosed by the curve y=x+2. Y3DX2 and the line

A:

Q: Find the area of the region enclosed between the curves defined by the equations y = vx +2,y= x ,…

A:

Q: Sketch the region enclosed by the given curves. y = V5x, y = y 4 2 -30 -20 -10 10 20 30 -4 -30 -20…

A: The given curves are y=fx=5x3y=g(x)=15x

Q: Sketch the region enclosed by the given curves. Decide whether to Integrate with respect to x or y.…

A: We will solve the problem

Q: Evaluate SSDY²+ 3x d A where Dis (egion in the between x°ty3sl and X?+y²-16 3rd quadrant

A:

Q: Let R be the rectangular region with (1,2) , (2,3) , (3,2) and (2,1) as corners. Use change of…

A: Changing the variables

Q: The shaded region in the figure is bounded by the graph the lines x = -7, x = 7, and y = 2 and the…

A: Solution

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A:

Q: y = 2x2 + x - 6 y= x² - 4 y 5- (2, 4) 4+ 3+ 2+ 1+ + + -3 -1 -1+ 1 X -2+ -3+ -5 -7+ 3.

A:

Q: Determine the area of the region enclosed by the Y-2x = -1 and 4 = x ² = 4x+4. Do not simplity…

A:

Q: 1) Sketch the region bounded by y = 1– x and y = x2 – x and find the area of this region. 2) Sketch…

A:

Q: Set up an integral for the volume obtained when the region is rotated about the line x = -3. DO NOT…

A: To set up the integral to calculate the volume of the solid obtained by rotating the below region…

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.