p9 ]n Y dy 4

Q: Evaluate the double integral S S (11a°y³ + 11eš")dædy

A: We have to evaluate ∫36∫2611x3y8+11e5x dxdy   We evaluate this double integral using iterated…

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

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

Q: Compute the given approximation to the integral.

A:

Q: Evaluate the integral. 6. 9 In(y). dy Vy J4

A: Given,             ∫49lnyydy

Q: Find the integral S výy+9dy = ...

A: Explanation of the answer is as follows

Q: Find the integral SyVy+8 dy 4,

A:

Q: Evaluate the Integral dz 1. S z²+4z ANSWER: 1. - In + C 4 |z+4

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: Evaluate the integral: rV1+ 25 /1+ 25z°dz + C

A:

Q: Evaluate the integral. 7y°dy y'-9 7y dy y7-9

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Q: Calculate the integral $dz, where C: |z] = 2.

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Q: Find the integral of r(t) = (3t2 + 4t, 2, e') from 0 to 1.

A: Consider the following vector: rt=3t2+4ti^+2j^+etk^ Integrate the above vector:…

Q: Evaluate the integral. Ay'dy 4y'dy y- 12

A:

Q: Evaluate the integral. (2 + 2y)? dy

A:

Q: evaluate the iterated integral.

A: ∫03∫-20x2y-2xy dy dx=∫03∫-20yx2-2x dy dx=∫03x2-2x dx∫-20y dy

Q: Sy² e2y dy

A: We need to evaluate the following integral ∫y2e2ydy

Q: The improper integral (A) e B) © ⒸO D 1 8 Stoe ex dx is

A: Given that,

Q: The improper integral ** ex dx is A Be (C) 1 D) 0 8

A: ∫0+∞e-x dx

Q: Evaluate the improper integral A 0 B (C) 2 9 mit 3 4 √1²23 3³/30 D) diverges dx

A:

Q: Evaluate the integral. (4x + 8y + 10z) dz dy dx o o o

A:

Q: Evaluate the integral. r 81 In(y) dy Vy 64

A:

Q: Evaluate the integral. | | zy dk dy -3 - 10 O A. 0 O B. - 864 O C. - 576 O D. - 432

A: Here we are given the integral  I=∫-33∫-1022y dx dy

Q: 4. Use the substitution formula and evaluate the following integral: dy -1 y/4y² – 1

A: This question is based on the substitution, make a substitution for y such that the denominator part…

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

A:

Q: Estimate the value of the integral 4- x²y2 dA, S = {(x,y)| x² + y? 0} |

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Q: C * dt = 1 0.2t

A:

Q: 1 d.r. x² In(x) Consider the inmproper integral r10

A: The solution is in step 2

Q: The Particular integral for (D? + D+ 100)y = 2 is O Yp = 100 100 O None 2 O yp 100

A:

Q: The Particular Integral for (D2 + 5D + 6)y = e3z O None O Yp 30 elz O Yp O Yp =

A:

Q: Solve the double integral J, J, (1+ xy)² dydx In n(금) O 2ln(5) – In(3) O In(3) – 4ln(5)

A:

Q: Evaluate the integral [x²y³² (x²y + xy² + y²²)dxdy dz 001

A: The given triple integral is ∫01∫02∫13x2y3x2y +xyz+yz2 dx dy dz. First integrate with respect to x…

Q: and evaluate the Sketeh, integral reverse Jy dx

A:

Q: Given the integral: fcos-¹ 1 x dx

A: Given :    Integral : cos-1(x) dx

Q: S( z +1) e2² dz

A:

Q: Evaluate the integrals ∫ e4t + 2e2t - et/e2t + 1 dt

A: Consider the following integral:…

Q: Find the integral | 5y In y dy. 5y In y dy = +C

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Q: Evaluate the integral. dy e8y

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Q: Evaluate the integral given below. Vīn3 e dædy (2VIn3 4/5 O 3vln3 In3 1

A: The given integration is  

Q: Find the integral. 12x Vx dx 9 24 OA. 7 +C 8 О в. + C 3

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Q: Find the integral f(r, 0) = 4r², where 1 <r< 3, -T < e <n of

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Q: Evaluate the integral. yz dx dz dy O8 68 3.

A: We have to evaluate the given integral

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

A: ANSWER:

Q: dy V4y + 1

A:

Q: Evaluate the integral -6y dy e2y

A:

Q: Evaluate the integral , xy dx dy 0.

A: Here we will integrate function w.r.t. x first then w.r.t. y

Q: The Particular Integral for (D² + 19)y = r is O Yp 응 500 O yp= (z) 19 O None O yp =

A:

Q: ii) Evaluate the integral // Va? + y°dxdy. 1-y2

A: Find your answer below

Q: Evaluate the integral. dy y4 – 16

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Q: Evaluate the integral. 7 - x2 | x5y dy

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Q: Evaluate the double integral : I|| (2x + 2y – 4) dy dæ O 144 O 180 252 O 288

A: