Evaluate the following integral. 8 4-2y /3 12 - 2y – 3z 1 dx dz dy y 1 0

Q: Evaluate the iterated integral. 8. 13 (X) (x + y²) dx dy 1/1

A: ∫-18∫13x+y2 dx dy

Q: 03: Evaluate the following integrals dx (1) S 2x (1+Vx)

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Q: Evaluate the following integrals: 1.Jx S dx 1-х4 dx VX 2 2.5 3.5² dx X

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Q: II. Evaluate the following integrals: 4 1 dx ½2x+ 7 2 1 4. 5. 6. 4-5x -dx-

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Q: b) Calculate the following integrals x²(3x³ + 2)²dx (i) (ii) sin3x e³x dx (ii) (2x22+₁ +*²+2) dx S…

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Q: Evaluate the following integral. 3 2-2x 2-2x - y IJ J dz dy dx 0 0 3 2-2x 2-2x - y IT! | dz dy dx…

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Q: 6) Evaluate the following integrals 4 6)dx J(a*W 3x3-4 dx

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Q: 1. Find the following integrals. i) S 3e-2x dx 2x2-1 dx ii) S: 2x3-3х

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Q: Evaluate the following integral. π 2 7y sin y s s dx dy 0 0

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Q: Evaluate the following integrals: 1) dz |(log = +3)* 2) f(1-y) dy e 3) f(y-1)3 3*5 92 dy 3 32y 4)…

A: since you have posted multiple questions, so I'll solve first one for you , for rest question's…

Q: Q3/ Evaluate the following integral: 23 1 8xyz dz dx dy. 120

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Q: - Evaluate the following integrals 2e**+11e3x+16e2x -dx e2x+5ex+6

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Q: 12. Evaluate the following integrals. a. S (9t+ 415) dt b. Se-4* dx **3** dx d. f(x-1- x + 4t3…

A: Note: Since you have posted multiple sub-parts we will solve only first three for you. If you want…

Q: 2. Evaluate the following integrals: (a) - (x +1)?* dx (b) xVx -1 1xV

A: (a) Given:  ∫-∞∞xx2+12dx Let say,   x2+1=u⇒2xdx=du⇒xdx=du2. Therefore, ∫xx2+12dx=12∫u-2du=-12u+C  ,…

Q: Find the following integrals: 1) S(2x-3) (4x2- 12x) dx 2) Scot y csc? y dy 3) x2+1 4) S dx…

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

Q: 1. Evaluate the following integrals: а) . dx 17 + x2 b) . dx xV5x2 – 4

A: we have to evaluate the following integrals: a) ∫dx17+x2 b) ∫dxx5x2-4

Q: Evaluate the following integral. 3 5 e dz dx dy -2 4 1

A: Calculation:

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

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Q: 24. Evaluate the integral: ," dy y2+2y-3

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Q: B) Evaluate the following integrals: 1) S (x-2)3 dx x²-4 dr

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Q: 2. Evaluate the following integrals a)S3z dx 314r b) S dt

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Q: Evaluate the following integrals. Show the solution. 1. S(2x -x5 + 7x-3x2- 11) dx 2. S(9y-2 + 6y…

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Q: Evaluate the following integral. 2 5 e 2,2 dz dx dy -221

A: Given: ∫-25∫25∫1ex2y2zdz dx dy ⇒∫1ex2y2zdz=x2y2∫1e1zdz       ...constant out⇒x2y2lnz1e…

Q: Evaluate the following integral. 4 (6x2 + y ) dx dy =

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Q: Evaluate the integral ∫04 (y-2)(2y+1 ) dy

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Q: Q1 / Evaluate 3 only of the following integrals: 1) S 3x² dx 2) S ( +x) dx 1 3) S(2t + t=1)² dt x+3…

A: For a function g(x) with f(x) as its derivative, i.e; Then ;

Q: : Evaluate the double integral : (x + 2y – 7) dy dx 00

A: The solution of double integral is 126

Q: 15. Evaluate the following integrals: (b) , Tax+1)3/2 (c) f, (8)05xdx. 30 8 dx (a) J 7x+5)1/3 ' -dx,

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Q: Q5) Evaluate the following integrals: 1. ƒ (1+√3)³ d -dx √x 2.JxỏeXdx 3.f (x+3) dx 2x³-8x

A: Since you have posted multiple questions. As per guidelines, we"ll solve only first part. If you…

Q: 1. Evaluate the following integrals |(1 - 2)Vī dx 13 (ii) (2 – t4)d' (iii) 24 – 523 + 6x² – 18 da a3…

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Q: 7. Evaluate the following integrals. 5 a) e dr -5 .2 b) (y – 1)(2y + 1) dy

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Q: 3. S(z + 3)*dz 4. S(4x + 1)² dx 5. Sy(4+ y?)dy

A: This question is related to integration.

Q: Evaluate the iterated integral. 4 (x2 – 2y²) dx dy

A: Given problem:-

Q: Evaluate the integral 1 2-x xy dy dx 0 x2

A: Here we have to evaluate the given integral

Q: Evaluate the following integrals: ² (x² + y²) dx dy .2 V4-y V2-x² (x + 2y)dy dx

A: Let's find.

Q: Evaluate the following integrals (a) [2r³ - 2x³ + 3x - 2 dx (b) [ 3x² + √x √I dx (c) √ ¹ t² (√t -…

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Q: Evaluate the following integrals. Show your complete solution. 2 dy 1. S Зу-4 2. S dv v+3

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Q: Calculate the following integral: 4 I V16 - x dx .2 0.

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Q: 4. Evaluate the following integrals. A) (3x² + 2x) dx 16 B) S°x-5/* dx

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Q: 3. Evaluate the following integrals. (a) / х — 1 x2 + x (b) / 2х — 3 dx x³ + x

A: We have to find the integral

Q: Evaluate the following integral. (xy +xz + yz) dV; D {(x,y.z): - 4sxs4, - 5sys5, - 1szs 1} D JJ (xy…

A: We have to evalute the integral  Using Here dv =dx dy dz

Q: B. Evaluate the following integrals. | 10V7 dx 1. 6x dx 2. |(3u° – (Зи — 2и%) du 3.

A: Since you have posted multiple question in this question so I have solved first three question as…

Q: 03: Evaluate the following integrals: dx (4) √√√²+4x+4

A: Solve the integration

Q: Evaluate the following integral: y +y2-1 dy y3 + y

A: Given integral, I=∫y4+y2-1y3+ydy

Q: Evaluate the given integral. 1 a) dx ² +x – 2 3 b) dr 3 – 9x2

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Q: 2. Evaluate the following integrals (a) / 20° 2x + 3х — 2 dx (b) /: 3x2 + Vx dx (c) / t (Vi – 3t) dt

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Q: 3. Evaluate the following integrals: 0 3 dx a) -13x-2 sec x dx b) JIn(secx+tan x)

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Q: Evaluate the following integral. 1 4- 4x 4 - 4x- y dz dy dx 0 0 1 4- 4x 4 - 4x- y dz dy dx =…

A: Topic:- triple integration

Q: Evaluate the following integrals: 1) 3x(x-5)dx 2) l dx o x-1 9 dy 3) +2} -s dw 4) -3 w+1 5) xáx (…

A: 8) Consider the integral: I=∫-293dyy-35

Q: Evaluate the iterated integral. 2 4 (x2 – 2y2) dx dy 1 Jo

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