1. Evaluate the integral Vi-x² ex?+y*dydx.

Q: Evaluate the iterated integral. 8 4 b²b²x + (x + y) dy dx

A: Given query is to find the value of the integral.

Q: H.W: Evaluate the integral (x²y - 2xy) dydx 1. 30 0-2

A: As per your query the solution of the question no 1 is given in the next step.

Q: Evaluate the iterated integral. 8. '1 (x + y + z) dx dz dy

A: When integrating with respect to one variable , take other variable as a constant.

Q: I.Evaluate the ff. iterated integrals. rd/2 ptan y sec y 1. x'cos' ydxdy

A: Please see the answer below.

Q: Evaluate the triple iterated integral. 2/2 L7 xyz dx dy dz 0 Jo J-1

A:

Q: Evaluate the iterated integral. 17 [₁₁/₁² (x² + y²) dx dy = i 17 LL" (2² + y²) dx dy

A:

Q: x+y+xy)dydx 2J-1

A:

Q: Evaluate the iterated integrals. 2 yz b. So So So xyz dx dy dz Jo 0 0

A:

Q: Evaluate the following iterated integral Vi- V1-2-y e(²+*+=)" dz dy dz.

A:

Q: 13. Evaluate the triple integral: In y (z) dzdydx y2

A: Given :∫12∫1x∫y2lnyz dz dy dx=I

Q: 4 4y Evaluate the iterated integral хуdxdy. y

A: The objective is to evaluate the integral ∫04∫y4yxydxdy .

Q: Evaluate the iterated integral | dydx. а. 2 b. 1 с. 0 d. 3 О а. O b. O d.

A:

Q: Evaluate the iterated integral. LP'&x+yaxay (x + y²) dx dy

A:

Q: I.Evaluate the ff. iterated integrals. • rel /2 ptan y sec y 1. x'cos' ydxdy

A:

Q: Evaluate the integral: ∭D(x2+y2+z2) dxdydz, where D is defined by x2+y2+z2≤2.

A: Given:-                               Evaluate the integral: ∭Dx2+y2+z2dxdydz…

Q: 1. Find a particular integral for d²y dy dr +4- + 3y = r? dr2

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Q: #1. Evaluate the iterated integrals (a) || (6x?y+4x - y) dx dy -2 (b) y2 x²y dxdy

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Q: Evaluate the iterated integral. T/4 1 Tv cos(x) dy đx

A:

Q: Evaluate the iterated integral. e² (1/xz In(z) dy dz dx

A: topic - triple integration  answer is ln(64) =6ln(2)

Q: Evaluate the iterated integral. (x² – y²) dy dx -1J-4

A:

Q: I.Evaluate the ff. iterated integrals. • 7d/2 ptan y sec y 1. .3 cos' ydxdy JJ

A: Since, you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 2. Evaluate the following iterated integrals. (») L rey dy dx In(a² + y? + 1) dx dy (b) 4- y

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Q: Evaluate tne following double integral ! VI- 2 (2 + y)* dyd.r. -1 0

A:

Q: Evaluate the iterated integral. T/4 '5 y cos(x) dy dx

A: A detailed solution is given below

Q: Evaluate the integral of (3x + 9y) dx dy, use the inner limits from 0 to y and outer limits from 0…

A: Given: The double integral ∫∫3x2+9y2dxdy, here the inner limits varies from 0 to y and outer limits…

Q: Evaluate the iterated integral. (x² – y²) dy dx -1J-2

A:

Q: The particular integral of (D2 + 1)y = cosx is -zcosz 2 -zsinz 2 ICOSI zsinz 2 O None of the choices

A: Find particular integral (P .I)

Q: 3. Evaluate the following INDEFINTE integrals. (a) / (b) / va dy y dy (c) dy

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: I dydx 1+ y? 1.

A: In the question we have to find integral.

Q: Evaluate the following iterated integral. 19 12y dx dy dx+y? 0 4

A: Consider the provided integral, ∫01∫4912yx+y2dxdy Evaluate the provided integral. Simplifying…

Q: Set up a double integral to find the z = x? + y? %3! %3D z = 0

A: We are asked  to set up double integral to find the volume.

Q: evaluate the iterated integral.

A:

Q: Evaluate the double integral. |/ (2x + y) dA, D = {(x, y) | 1 sy< 2, y – 1 < x < 1}

A: Evaluate the double integral  ∫∫D2x+y dA     , D=x,y|1≤y≤2,y-1≤x≤1

Q: evaluate the iterated integral.

A: Given- ∫02∫-11x-ydydx To find- The value of the above integral.

Q: Evaluate the iterated integral. 2 *4z [In(x) f Jo xe Y dy dx dz

A:

Q: 3. Show that, in the region D: 1< x<e, 0<y<In(x), the following double integral 3e4 + 1 x3 dA 16

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Q: Evaluate the iterated integral. 6. 8. (x + y + z) dx dz dy

A:

Q: Evaluate the iterated integral. SS 5x= dy dz dz = 0 0 0

A: Integration is evaluated by integrating first y then x then z.

Q: Evaluate the iterated integral. 16-y² ST Jo (x + y) dx dy

A:

Q: Evaluate the integral x2 ds where C is the portion of x2+y2=4 from (0,2) to (-2,0).

A: ANSWER:

Q: evaluate the iterated integral.

A:

Q: the iterated integral Evalua te 2-y 14-y" (~zdxdz dy 2 0.

A:

Q: Evaluate the triple iterated integral. 2 4 xyz' dx dy dz Jo Jo J -1

A: Here we have to solve the givne triple integral I=∫02∫01∫-14xyz3dxdydz

Q: Evaluate the iterated double integral 2 b.) √ √ ² sinπTy ³ dydx

A:

Q: 4. Evaluate the following integral: Se-y cos y dy

A: Solve by integration by parts.

Q: b) Evaluate the iterated integral In z x e' dy dz dx 3 cx2 1 x,

A:

Q: Evaluate the iterated integral 3 In z x e' dy dz dx

A: Given,         ∫13∫xx2∫0lnzxedydzdx

Q: Evaluate the iterated integral. V 4 - y2 (x + y) dx dy

A:

Q: 2- Assume that x, y e R and z = x + iy E C and answer the followings. Calculate the reel integrals…

A: Consider the given figure in the question. We have to evaluate I=∫x=0∞1x3+1dx in the given contour…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.