Evaluate the integral [(x+2y)dy. Evaluate the iterated integral [(x+ y)dy dx. Evaluate LL*(* + 3y)dydx , sol. (0.6) (b) L Sin(3+ cosx)dydx ,sol. ( 6TT + 6) n Jsinx (c) L(2x? + y² – 8xy³)dxdy, sol. ( 198)

Q: For any fixed x in the interval (0, 1] carry out the substitution cos 0 = y + (y² – 1) in the…

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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. (x + y) dx dy -1.

A: A detailed solution is given below.

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

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Q: Evaluate the iterated integral. 1/4 y cos(x) dy dx

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Q: Evaluate the iterated integral. 8/6 1. (x +y + z) dx dz dy 0 Jo

A: In this question , we can solve given iterated integral. ∫xn dx = xn+1n+1+C

Q: Evaluate the iterated integral. ITT*³. /0 10 6ze-x6 dy dx dz

A: Integrate usually but first with respect to y then x then z.

Q: Evaluate the iterated integral. 3 I (* + 5)dy dx 3 8 (x + 5)dy dx = i

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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: Q32] evaluate the Cauchy principal value of the given improper integral. x2 dx (x² + 1)²'

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

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Q: Evaluate the iterated integral. 4 9. dx dy

A: We need to evaluate the following integral ∫14∫0612x5ydxdy

Q: Consider the integral 3 4х f (x, y) dy dx 0, Evaluate the integral for f (x, y) = 5x²y

A: Given Data: Integrand: ∫03∫04xfx, ydydx Function: fx, y=5x2y3 Integrate the function. ∫03∫04xfx,…

Q: 2x f²f²² (x² + 2y³) dy dx. Write the iterated integral in the previous item using the order dx dy.

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Q: Evaluate the iterated integral. 8 3 (x + y²) dx dy -1/1

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Q: 4. If the curve y = In x between x = 1 and x = e is rotated about the y axis, which integral below…

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Q: Evaluate the iterated integral. /2 x. 4 cos (x + y + z) dz dx dy

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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 iterated integral. T/4 '5 y cos(x) dy dx

A: A detailed solution is given below

Q: Evaluate the iterated integral. (x + y²) dx dy THERE

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Q: Evaluate the iterated integral. [²1²₂(x² - y²) dy d dx

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Q: Evaluate the iterated integral. 4 5 6 (x² + y² + z²) dx dy dz -4 0 0 5 6 (x + y? + 2? )dx dy dz = i…

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Q: Evaluate the iterated integral. 64 – y² 78 (x + y) dx dy 0/

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Q: 3 The integral ³³ g(x, y) dxdy is equivalent 3 to ₁ ³x g(x, y) dydx

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Q: Evaluate the iterated integral. 1 −1 4 (x2 − y2) dy dx −4

A: We have to find the solution of double integral.

Q: Evaluate the iterated integral. 5 cos(r + y +:) dz dx dy

A: We know that integration of sinx is -cosx + c  and integration of cosx is sinx + c.       Here i…

Q: (a) Evaluate the following integrals: y=+2 x=+1 (i) [ (x+y²x² + y)dxdy y=1 x=0 4-2n 0=x/2r=2 (ii) -0…

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

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Q: Evaluate the iterated integral. 16 3 x²y dx dy 16 3 Py dx dy : i

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Q: Which of the following integrals represents the length of the upper half of the ellipse = 1? 16 3…

A: we have to find the length of upper half of the ellipse

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

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Q: ...... ... ... ...- Evaluate the iterated integral. 5. y cos(x) dy dx

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Q: Calculate the iterated integral. '3 1. 7xy x2 + y2 dy dx + y2.

A: Given integration, I=∫03∫017xyx2+y2dy dx Use formulas, ∫xndx=xn+1n+1∫cfxdx=c∫fxdx   c is…

Q: Evaluate the iterated integral. 1 2r y 8ry: dz dy dx

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Q: Evaluate the iterated integral. 2ye-X dy dx 12

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Q: Evaluate the iterated double integral: x+4 sin (y³ – 3y?) dy d.x - x+4

A: Let's find.

Q: Evaluate the iterated integral. 7 2x x-2 dz dy dx -4 0 y 7 2x x-2 dz dy dx = (Simplify your answer.)…

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Q: Evaluate the exact value of the multiple integral. 2 In 2z c2y e*dx dy dz 2 Jinz -y

A: This question is related to definite integration, we will solve it solve it using given information.…

Q: Evaluate the iterated integral. /3 6. y cos(x) dy dx

A: I=∫0π3∫09y cos x dy dx =∫0π3cos(x) ∫09y dy dx  =∫0π3 cos(x) y2209 dx  =∫0π3 cos(x)812 dx

Q: Evaluate the iterated integral. 4y (x + y 18xy dz dx dy

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Q: Evaluate the iterated integral. 3 4 5 | /| (x² + y² + z²) dx dy dz -3 0 0 3 5 (x² + y? +z? ?)dx dy…

A: Application of integration

Q: evaluate the iterated integral.

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Q: Evaluate the iterated integral. (x + y²) dx dy J1

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Q: Evaluate the iterated integral. 6. I (8x - 2y) dy dx | 1

A: Given: ∫19∫0x8x-2ydydx

Q: Evaluate the iterated integral below. π 1 4 S*S'y cos (x) dy dx Só 0

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Q: Evaluate the iterated integral. 5 (бх — 10y) dy dx -1 5 (бх — 10у) dy dx%3 i

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Q: Calculate the definite integral. 4xy Vx2 + y2 dy Calculate the iterated integral. (1 (1

A: Here we have to calculate ∫014xyx2+y2dy

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

A: Given the double integrationI=∫−11∫−44(x2−y2)dydx