Calculate the double integral 2 dædy D= {(x, y)| 3< ¤ < 5, 5 –¤ < y < 8 –x} D x3 Enter the exact (not approximate) answer here

Q: Evaluate the iterated integral. 4 1 v1-z seº dx dz dy 0 0 0

A: given  :

Q: The improper integral A) 0 B 1 C D e +∞o Sto 0 8 ex dx is

A: On solving this we will get

Q: Evaluate the double integral | x(1+y²)-1/2 dA; R is the region in the first R quadrant enclosed…

A:

Q: Evaluate the double integral. (2х + у) dA, D = {(x, y) | 1<ys 4, y – 3 <x< 3}

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Q: Evaluate the iterated integral. 21 V441-y у dx dy 21 441-y у dx dy %3D i

A:

Q: Show your complete solution: Evaluate the triple integral pl+y² xdtdydx 1-x S S T 2y

A:

Q: rln z xe' dy dz dx 0.

A:

Q: The improper integral A e B 0 C D) 1 + ∞ [** 0 e-x dx is

A: The given improper integral is: I=∫0+∞e-xdx

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

A:

Q: Q.3 Find the double integral for L. x² dydx, where R between y = 1/x , y = x and x = 2 SR

A: From the given region, y varies from y = x  to y = 1/x and x varies from x = 1 to x = 2. The…

Q: The improper integral A) 0 B 1 C D) e 8 ·+∞o Ste ex dx is

A:

Q: 15. Evaluate the double integral (a + 6y? + bx²y) dA, where R = {(x, y) E R² : |x| + \y| < 1}.

A:

Q: Use symmetry to evaluate the double integral. 4xy 1+ x2 dA, R= {(x, Y) | -4 s x s 4,0 s y s 1}

A: When the upper and lower limits of definite integrals become same, the result is zero irrespective…

Q: Calculate the following double integral a(x+y)dxdy-[ where 2 = {(x, y) :0sys 2x+2,0 <x<3} Submit the…

A:

Q: evaluate the iterated integral.

A: Evaluate: ∫-10∫-11 x+y+1 dx dy

Q: Evaluate the double integral 2.x² – xy)dA, D = {1<r< 2, <o<n} - D

A: we have to find the integral

Q: Evaluate the triple integral. II y av, where E {(x, y, z) | 0 s x s 5, 0 s y s x, x - y szS x + y}

A: Here, we have to evaluate the triple integral

Q: Evaluate the double integral. 4y dA, D = {(x, y) | 0 s x s 1, 0 sysx} 6x + 1

A:

Q: Evaluate the double integral ∫∫R  y / (1 +xy)2 dA, where R= [0,1]×[0,1].

A: Given integral is  where  R= [0,1]×[0,1].

Q: Calculate the double integral. 3xy? dA, R = -{(x, m10 sx 5 3,-25 ys 2} -2 s ys2} .2 + 1

A:

Q: Evaluate the double integral. 7x dA, D = {(x, y) | 0 <xS A, 0 s y s sin(x)}

A:

Q: 1. Evaluate the improper integral or show that it diverges. (a)/ e* dx 8. (b) / dx (c) d.r (d) /…

A: If the limit exists and is a finite number , we say that the improper integral converges .If the…

Q: Evaluate the double integral: To L 0 y x7 +1 y¹/3 x7 dx dy.

A: The given integral is: I=∫08∫y132yx7+1dxdy   So, The limit of the x varies from y13 to 2. The limit…

Q: Evaluate the double integral. 7y2 dA, D = {(x, y) I –1<y<1, -y – 2< x< y}

A: Explanation of the answer is as follows

Q: Evaluate the double integral. y dA, D = {(x, y) | 0 s x s 2, 0 sys Vx} x2 + 1

A:

Q: Find the double integral [[ f (x, y)dA for the function f(x, y)=1-6x²y and R:0<x<2,-1 <x< 1.

A:

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

A:

Q: Evaluate the double integral. y dA, x2 + 1 D = {(x, y) | 0 <x< 3, 0 sy s Vx} ID

A:

Q: Evaluate the double integral. dA, D = {(x, y) | 0 < x < 9, 0sys Vx} ID x² + 1

A: The double integral is given by:

Q: The improper integral A 1 B 0 C St edx is

A: To solve the improper integration.

Q: 20. Re-write the triple integral =9 dz dy dx so that dV = dx dy dz, then evaluate the triple…

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Q: Evaluate the double integral. y dA, x2 + 1 D = {(x, y) | 0 s x< 6, 0 s y s Vx}

A: Answer and explanation is given below

Q: Q.3 Find the double integral for L. x? dydx, where R between y = 1/x ,y= x and x = 2

A: From the given problem:   I=∫∫Rx2dydx   And curves are: y=1x; y=x and x=2   So the bounded region is…

Q: Calculate the double integral of f(x,y) over the triangle indicated in the following figure: y 3…

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Q: Evaluate the double integral. бу dA, 2x5 + 1 D = {(x, y) | 0 <x< 1, 0 < y s x²}

A:

Q: Evaluate the iterated integral. 7 8 !! //(? + y² + z²) dx dy dz -6 0 0

A:

Q: Evaluate the improper integral Xe* dx Ina A) integral diverges ৬) C) o D) Inz In2 2

A:

Q: e2z Sc Where C is Z = |3 Q5- The value of the integral J. =......... (Z+1)4

A:

Q: late the double integral. (6z²y – 5y*) dA, R= {(z,y) | 0< z S 3,0 syS1}

A: Given: The double integral ∫∫R6x2y3-5y4dA,       R=x, y| 0≤x≤3, 0≤y≤1. Here, y varies from 0 to 1…

Q: Evaluate the double integral. IL sy? da, D= {(x, y) I -1 s y s 1, -y – 2sxsy}

A:

Q: dV, where E is the region between two cylinders ²+², 5. Evaluate the integral and 2² +2²9 with 1 ≤ y…

A:

Q: Evaluate the double integral. dA, x2 + 1 D = {(x, y) | 0 <x< 2, 0 s y s Vx} %3D

A: Double Integral:    ∫∫yx2+1dA , D={(x,y)|0≤x≤2, 0≤y≤x}=∫02∫0x yx2+1 dy dx=∫02[y22(x2+1)]0xdx

Q: se the fact that 1 dr %3D 2e2 Ae 2r +C p either evaluate the improper integral -d.r, or show that it…

A: we have to find integration.

Q: Evaluate the double integral for R: 0<y<1,0<x<y² . Sly e*dxdy .

A:

Q: Evaluate the double integral x* dA, where D = {(x, y) : 1 < x < e,0< y< In x}. %3D

A: The solution is given as

Q: Evaluate the double integral. y dA, D x2 + 1 D = {(x, y) | 0 < x< 2,0 s y s Vx}

A:

Q: Rewrite the double integral S $ $(x,y) dy dr as a double integral using the order 1/2 dr dy

A: We will solve the problem

Q: Calculate the double integral of f(x, y) over the triangle indicated in the following fhgure y 4 3…

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

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

A: We have to find the value of the integral