Evaluate the following integrals i) / Vỹ++edy 3. Vy

Q: Evaluate the iterated integral: , S (2x²y + 3ay") de dy.

A: The objective is to find the value of the iterated integral ∫-12∫242x2y+3xy2dxdy First integrate…

Q: 2x Evaluate the improper integral J da, if it exists. (z² + 121)?

A: Use the substitution method of integration

Q: Use the Table of Integrals to evaluate the integral. (Use C for the const 6 + 12y – 36y2 dy 3 + ( 6y…

A: Given ∫y-36y2+12y+6dy⇒6∫y-6y2+2y+1 dy⇒∫y-6y2+2y+1dy , write y as 16-1122-12y and…

Q: Evaluate the integral. (e* i + 4t j + In(4t) k ) dt + C

A: The given integral is: ∫et i+4t3 j+ln(4t) k dt

Q: -Inx 2. S S" So ye dzdxdy y

A: To evaluate: ∫12∫yy2∫0ln xyezdz dx dy

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

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Q: Evaluate the iterated integrals: 4 2 S[x* +xy}dydx 0 1

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Q: Which of the following integrals will yield In u+ C? A. SE B. S- x+1 D. S dx xdx C. S 2rdx = x+1 O…

A: From the following integrals will yield ln u+C Note:     Multiple questions are given, we are answer…

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: Evaluate the integral. * m/6 cos(z) dz sins (z) Jn/2

A: Given,          ∫π2π6coszsin5zdz

Q: Evaluate the following double integral and enter the value into Ans: || 7xye"vdA, R = [0,1] × [0, 3]…

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Q: Evaluate the following integral. (xy + xZ + yz) dV; D= {(x,y,z): - 2sx<2, -1sys1, - 4szs 4}

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Q: I. Evaluate the following integrals. 1 · J z(9 – In² r}5/2 1. d.x x(9 – In² x)5/2'

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Q: Compute the double integral of f(x,y) = 20x*y over the given shaded domain in the following Figu 1 1…

A: We can answer question as per the honor policy. Please resubmit other question as well to know the…

Q: Calculate the iterated integral 2 So Só Væ + ydædy

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Q: Evaluate the following iterated integral: for-y |x - y dx dy. Answer: 1/3

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Q: I. Evaluate each of the following iterated integrals. rInx 2. S ye dzdxdy

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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 the integral f, (5x + 6y²) dA, where R = {(x,y)|0 < x < 4,0 < y < 3}.

A: Given integral is ∬R (5x + 6y2) dA Where R =  (x, y) | 0≤x≤4, 0≤y≤3

Q: 4 ∞ dy dx J I+ 4? 2. 00

A: To find the integration

Q: Evaluate the following iterated integral. l-x-y 3 dz dy dx 1-x cl-x-y

A:

Q: If | h(s)ds = 21 and h(s)ds = 10.8 2 what does the following integral equal? | h(e)ds - [

A: If ∫-56hsds=21 and ∫-26hsds=10.8. Then we have to find the integral value of ∫-5-2hsds=?

Q: Evaluate the following iterated integrals. r2 -4–x² 1-y? xe?y dy dx 4 – y (b) /Jn(r² + y² + 1) dr dy…

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Q: a. In y = dy

A: We have to solve integral

Q: Evaluate the integral. r81 In(y) dy Vy 64

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Q: Evaluate the integrals LI Vy+I dy b. So a. 5r dr (4+r²)?

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Q: H.W: 1- Evaluate the following integrals St7t?+12 dt - S- ol X (4x2 +1)3 a -

A: a.  ∫t7t2+12dtLet 7t2+12=x⇒14tdt=dx⇒tdt=dx14∴∫t7t2+12dt=114∫xdx=214×3x32+c=1217t2+1232+cwhere c is…

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: Evaluate the following iterated integrals. 1). S. S (x + y) dx dy

A:

Q: Rewrite the iterated integrals in the order dzdydx 11-y? 1-y SS S f(x, y, z)dædzdy 00

A: The given integral is: ∫01∫01-y2∫01-y f(x, y, z) dx dz dy

Q: Evaluate the following integrals by using the substitution u= 4x+ 1. %3D (a) 4x + 1) dx. (b) 4.x+1)2…

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Q: Evaluate the following integrals // a dA R= {(x, y)| 0 < r < 1, –x <y < x} 3r2 +1 R

A: Given, ∫R∫(y/(3x²+1)) dA 0&lt;=x&lt;=1 -x&lt;=y&lt;=x

Q: 3. Use the table of integrals to evaluate dx and give the following information: V9x2 -25 a) Which…

A: We have to find solutions

Q: S, z? ( z³ – 1)* dz

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Q: 1 I . a²y dædy;

A:

Q: ^ du 1 1+2 Sinn

A: Solving the given integral using the substitution method Also using the formula for the integration…

Q: Calculate the following double integral, where R = [1,3] × [1,2]: 1 dA. 1+ x + y R

A: Given÷

Q: Evaluate the iterated integral: I 2² In(y) dy dæ

A: evaluate the integral ∫-22∫12x2 lny dy dx

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

A:

Q: A. Evaluate the following integrals. 1. Sx 3dx 4x5+5 2. S- dp: x3 3. Sx Vx2 – 4dx

A: Sine you posted question with multiple subparts , as our guideline we supposed to answer only first…

Q: Calculate the following integral z +1 dz, z2 – 2z Iz|=p both when 0 <o<1and when 1 so<.

A: Given: ∫z=ρz+1z2-2zdz

Q: Evaluate the following integrals. i) S Vỹ+ + edy i) /x Vx? – 1 dx x+2 dx x2+4x-2

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Q: Evaluate the following integral (a – /(x² + y²))dA Jxz+y?sa²

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Q: Use the appropriate substitution to evaluate the following integrals: e++dr 3e3a+4 +C A ... e3r+4 +…

A: topic - indefinite integration

Q: Evaluate the following iterated integral. Jó lolo(−2x + 5y + 2) dx dy dz Ⓒ42 Ⓒ52 38 48 41

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Q: Evaluate the iterated integral. 6 r8 × Jo Jo (x + y) dy dx

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Q: 4 16+ 16y – 4y² (y2 – 4)2 3

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Q: Evaluate the following integral. JJJ (xy + xz + yz) dV; D = {(x,y,z): - 4sxs4, - 2sys2, -6<zs6} JI…

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Q: A. Evaluate the following integrals: 1. Sx² e*³dx et3

A: To evaluate the given integral.

Q: -t/2 rsiny 1. Vi-x? dxdy V1-x²

A: I am going to solve the given problem by using some simple calculus to get the required result.