133 3. Evaluate the integral jjfxz (x*z+ y²+z² ktxdydz . XZ 000

Q: Evaluate the integral. 5 w2 In(w) dw 1

A: Consider the given integral:

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 integral. 6. 9 In(y). dy Vy J4

A: Given,             ∫49lnyydy

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 following integral.

A: Complete the square of 3 + 2x –x2:

Q: (2ах + b)А + В dx. The form of decomposing a single irreducible quadratic factor in agiven integral…

A:

Q: 3. Evaluate the integral: = Im z°dz, C: =1 (-x< Arg I<)

A:

Q: 1. In the following, evaluate the iterated integrals. 2 3 S[(x -2y°Xdydx (i) 2 *y° dxdy 3 (ii) 0 -1

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Q: In Evaluate the integral: ₁²t² fln s t teu du ds dt

A:

Q: 2 3 Evaluate the integral f S(x² + y)dydx. 0 1

A: Here given two variables in Integration

Q: e3t dt 2 (1+4e*)

A: Please refer the attached image for complete solution.

Q: Complete Example 1 by evaluating the iterated integral 1/2∫41 ∫u−u1/u2 dv du.

A: The given is a double integral. the double integral given is ,…

Q: 10. Evaluaté the following integrals (b) J3 -6a+13 1 (a) S x²+1 -0 x4+1 ;d.x

A: We can solve this using partial decomposition and using integral

Q: 13. Evaluate the triple integral: In y (z) dzdydx y2

A: Given :∫12∫1x∫y2lnyz dz dy dx=I

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

A:

Q: Evaluate the integral.

A:

Q: 1. Evaluate the iterated integrals. In 3 In 2 (a) f f e** dydx S S 00 (b) ff X 00 (xy+1) dydx (c)…

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

Q: 2x Evaluate the improper integral J dx, if it exists. (12 + 81)2 -00

A:

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: 8. Evaluate the integral S xydx from x=3 to x=6 when x = 6cos0 and y = 2cose A. 9/7 B. 9/3 C. 5/3 D.…

A: Topic:- integration by substituting

Q: 4 Evaluate the iterated integral (2x + y)2 d 3.

A: we have to find

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

A:

Q: 1. Evaluate the iterated integral. .Só Sa(x² + y) dyd.x b. S So sin(x²) dydx 2y -1 x+1 dydx с.

A:

Q: 2º" (n!)" for n = 0,1, 2, .... (0! (2n+1)! xn for n = 1, 2,... .) (Hint: Start by showing that if In…

A:

Q: .3 Evaluate the integral LST wy+x*v+vz) dzdydx 0, 2.

A:

Q: 2. Evaluate the improper integrals of (a) In r dr OP -2 (0 + 1)³/5 (c) / re dr 4 dr (4) L r² + 16

A: To find - Evaluate the improper integral of    Formula used - Integration by parts :

Q: 10. Find the integral of dx x²-4 O In() + C x-2 O In() + C 2x x+2 O fIn( *2) + C X+2 O In() + C x+2…

A: *using concept:- 1. Partial fraction. 2. int(dx/x) = ln(x). 3. ln(m) - ln(n) = ln(m/n).

Q: 3 c3 4. Evaluate the integral S ex+ydydx '2

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Q: 7. Evaluate the integral r8-2x (x + y + 1)-2 dydr.

A:

Q: 14 10ху To compute / Js x²+y²+3 ) axa you do the u substitution: u = (Notice that this is a…

A: Solution is here

Q: 4t dt 2 - 812

A: To find the given integral integration (3 to 5) 4t/(2-8t²) dt

Q: Evaluate the iterated integral. x- 3 dydx Jo Jo (v + 1)² OA. 71 – 24ln 2 12 OB. 10 – 3n + 2ln 2 4…

A:

Q: Evaluate the integral: J22 SVA-2 01- [] π [] +C dydz 4-2² e² +²

A: double integration using polar form

Q: 2 Evalu ate the fllowing integral - R Is the regiovi be undéd by the grapis x:2, y= x-5, and…

A: We will evaluate the required value.

Q: Evaluate the triple integral.

A:

Q: 31.4. Evaluate the following integrals: (a). √₂₁ (2-13² -dz, where y: |z| = 3, (z − 1)² (2+2)

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Q: [4] 5. Use the fact that 1 +C 4e2r dx = 2e2 to either evaluate the improper integral 2 dr, or show…

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Q: Evaluate the integral. 2 [ 11t sec-'t dt 2/√√3 2 S 11t sect dt = [ 2/√√3 (Type an exact answer,…

A:

Q: S √x²-a² X dx

A: To solve the given integral.

Q: Evaluate following improper integral: t+1 4- 12 0.

A:

Q: 5. (a) Evaluate the integral 5 xdx V9 – x2

A: Given: ∫15xdx9-x2

Q: 3 In 3x Evaluate the defınite integral : J 6x2

A:

Q: Evaluate the iterated integral 3 1/x 4 = S S yla³ dydæ 1 1/22

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Q: 23: Evaluate the integral of ſ (5y+7) 5 dy

A:

Q: Evaluate the following integrals. 13 1 12-r2--v y(r + 2)dzdydx dzdydr -12 0 0 0 0

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Q: Evaluate the integral. 7e 7t dt 7t 3+ e'

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Q: 1. Evaluate the given integral Q. Q - If yza² dy dz dr 0 0 0

A: Since you have posted multiple questions and we can answer one question. So, answered the first…

Q: Evaluate the integral 8t (181² – 3)î + 1?+ 1 t k dt 12 + 1 /

A: