Q5/ 5. Evaluate ff, xelz dv by taking any two possible different orders of integration over the region R where R = [0,L]× [0, M] x [0, N] and also reflect with an example (application) how Multiple %3D integrals can be used in your specialization (Note: M and N are two numbers in your ID number after the alphabet F or S, M and N>0) M= 1, N = 9, L= 13

Q: ot) Evaluate the integral 9 L₁ (1x) — 4) da (|x|- dx - -7 using the net area of a region. Give the…

A: Here we have given an integral:

Q: double integral of (x+8y)dA on the region 0<=x<=4

A: We have to evaluate given double integral-

Q: +20x-22y-14-0 become when referred to the rectangul axes through the point (-2, -3), the new axes…

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Q: Let I = [ -1 y+x y-19y+xª dxdy. By reversing the order of integration of I, we get: Osysx^2+1…

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Q: Find the area of the region(s) bounded by y = -x5-2x4 - x² +4 and y = 2x + 1

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Q: SOLVE STEP BY STEP IN DIGITAL FORMAT Determine the integral using the indicated region =z¹dx + rydy…

A: Given that:    , where D is triangular region with corners (0,0), (1,0) and (0,1).We need to…

Q: Identify the region of integration for the following integral.

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Q: 4. Find the area bounded by the curve (x+y)^5 = ax^2y^2 in the 1st quadrant, where a is a constant.…

A: Let x=rcos2θ, y=rsin2θ L.H.S: x+y5  rcos2θ+rsin2θ5=rcos2θ+sin2θ5                          =r5…

Q: How are substitutions in triple integrals pictured as transformations of three-dimensional regions?…

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Q: یک - 1 R dy dx 2493

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Sketch the reigion bounded by the graphs of the equation and find the area of the region

A: The shaded area is bounded Region

Q: B region y=2x-2, y=2x-4, y=-x+2 and y=-x+4 lines bounded by the region SL. (2x – y)²dA integral with…

A: Given, the region B is the parallelogram bounded by the lines          y=2x-2, y=2x-4, y=-x+2 and…

Q: Find the area bounded by the curve y = x² and y = x+ WRITE THE GIVEN AND DETAILED SOLUTION

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Q: Find the area bounded by the curve x=16-v² and the curve x=y-5y+4 as shown in figure below. x = y² –…

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Q: Q5/ change the cartesian integral in an equvalant polor integral then evalute the polor integral so…

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Q: I=∬ e^(x2+y2) dA (The R is below the integrals) where R is the region of the first quadrant bounded…

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Q: Set up the double integral both ways : (integral)(integral) y^2 dA where R is the triangular region…

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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.