Evaluate the following integral. JJ (xy + xz + yz) dV; D = {(x,y.z): - 25xs2, - 4sys4, -1szs1} JJI (xy + xz + yz) dV =(Simplify your answer.) %3D D

Q: I. Evaluate the following integrals: apa 1. S; 6v2-1 2. Sd: x+3 x-1 (y-3) •dy 3. J-6y+1 y2-6y+1

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Q: Apply the composite Simpson's Rule with m = 1,2, and 4 panels to the integrals, and report the…

A: Since you have posted multiple questions but according to guidelines we will solve first question…

Q: Which of the following is not an improper integral? dx V2x – 1 00 x² e" dx 00 dx x +1 dx x3 – 1

A: from the given integrals

Q: Q:4) Evaluate the following integrals 4x 1) fcos"(4x)dx +e 2) [

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Q: Use the appropriate substitution to evaluate the following integrals: e 3z+ ® 3e3a+4 + C e3x+4 + C B…

A: We will solve the integration.

Q: Use the value of the first integral I to evaluate the two given integrals. 3 9 4 3 (8х-2x3) dx b. J…

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Q: Evaluate the following integrals. xdx |Ja +3 а. b. z · 3*dz | VI (2 – x)² dx с.

A: Let's find.

Q: Evaluate the following Integrals. dx V1 – 4.x2 4. -

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Q: dx 2. S х2—х

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

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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: Evaluate the integral of the following: y4+2y²-1 dy;y #0 a. √y b. J(-4t + 12) (5t + 15)dt 4+e²z-ez…

A: In this question, we need to evaluate the given integrals. Note : According to bartleby guidelines,…

Q: Evaluate the following integrals 1 3x 2x + y²)dydx a.

A: Solve the following

Q: Q:4) Evaluate the following integrals' 1) fcos (4x)dx 2) [ª er e+e** xp-

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Q: B- Evaluate the following double integrals: .2 .4 1) | (x+ 3y x²)dy dx

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

Q: Which of the following is an improper integral? A dx -4 x² – x – 2 In3e (B cosx dx хе -2 dx C 2x + 8…

A: To find out the integral which is improper.

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: Evaluate the following integrals 5z (5 – z°)*dx A. 3 -dr 3 В. 6x + 5 c. /"zV9-z'dz С. 1 -dr 5 - edz…

A: Answer and explanation is given below...

Q: I. Evaluate the following integrals: vdv 1. S 6v2-1 x+3 2. Sdx x-1 (v-3) 3. S dy y2-6y+1

A: The most easy method to evaluate these types of integrals is substitution method. Or else you can…

Q: Evaluate the following integral.

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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 integrals: 4x 6. ²x3x²y²dy dx 7. p² sin 0 d0 dp Ꮎ dᎾ π/3 π/6 8. (2-y)dy dx 9.…

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Q: Find the product of the integral In(3) S Som) xy e*y* dxdy

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Q: Calculate the following integrals: (6X-5)dx 3.1 I = S V3x²-5x+6

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Q: Q3 - Evaluate the following integrals dx i. J Jg-x- x5 jdx (x²–1)ž V9-x:

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Q: Vy-25 dy, y>5

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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: 3. Find the following integrals. Sdx dx 3x-1 a. b. x2+5

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Q: 3. Evaluate the following integrals: -ds +3 a. 2x b. S

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Q: Use the substitution technique to determine the following integrals:

A: Let,

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: Estimate the errors in the approximations for T10 and M10 of the integral from 1 to 2 of e1/x dx,…

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Q: In evaluating | x(4 – x)3dx , if we use the substitution that u = 4 – x, then what will be the…

A: Indefinite Integration using substitution

Q: Evaluate the following integrals dx S; x+V4x2+1

A: Given : Integral ∫dxx44x2 + 1   To find : Evaluate the given integral ?

Q: Evaluate the following improper integrals or show that they diverge. c+00 dx (a) x5/2 1 dx 1+ x2 (b)

A: Let's find.

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: 1-Evaluate the following integrals 1/4 a) d x 4. b) SyV4-y dy

A: Consider the given information: To evaluate the integrals.

Q: Evaluate the integrals. ∫y2(3y3 + 1)4 dy

A: Since, we have to evaluate the integral given below:-∫y2(3y3+1)4 dy -(i)

Q: S For x1/2 x−x³ dx and using the substitution u=x1/2, the resulting integral takes the form:

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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: y V3 x dx 8y-y2

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Q: Evaluate the given integrals. 3x dx 1. S 2x*-1

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Q: Find the following integrals using the method of substitution. t2 dt /6+t3 x2 b) J ; dx 5x3+8

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

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: Evaluate the given integrals. 3x?dx 1. S 2х4—1

A: Given that a integration and we solve this problem by using general formula of integration.…

Q: Evaluate the following Integral by using suitable method S(e-4YV1+ e-4y 2y3+y dy y4+y2+1/

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Q: Evaluate the integrals. ∫y2/(y3 + 27)dy

A: Given: ∫y2y3+27dy