2. [L-4) 5 (y+3)*

Q: 3 4 dx x2 + 9

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Q: dz 2 t´ + Zz-3

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Q: calculate the integral of: e(x^2/2)

A: We'll use the Maclaurin series expansion for e^(x^2/2).

Q: g+y= 쓸 - zxe - 5

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Q: 1 dɔ V9-x² 3

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Q: 1 de is not an improper integral x +1

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Q: Evaluate the integral : dr A +C (r+6)(x-4)

A: We have to evaluate the integral                                            ∫dxx+6x-4

Q: Evaluate the integral. dA, R = [0, 6] × [0, 16] x + 1

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Q: 2x Evaluate the improper integral dæ, if it exists. (x2 + 64)2

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Q: Evaluate the integral. -1 4y3 2 dy 3

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Q: 24 Use properties of integrals to evaluate S (2x – 1) dæ,if 3 11 24 S (2x – 1) dæ = 104, and f (2x –…

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Q: -2 2 7e" + dy -5

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Q: Evaluate the integral. (2 + 2y)? dy

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Q: Evaluate the integrals

A: Given: ∫-3-1y5-2yy3dy for evaluating this limit we first separate terms then integrate it

Q: Find the integral. J 3 x√9 - (In x)² + C dx

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

A: we have to find

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

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Q: Evaluate the integral: el/z dx -1

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Q: The improper integral 2dx 0. 1-x2 3 T

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Q: メT 2. 5+x of

A: The given integral is; 1/(5+x2).

Q: Evaluate the integral. 36-² 1 [²+² -√36−x² (x² + y²)¹/2 dy dx dz

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Q: 5. Evaluate the integrals: a) f(x²-y²)dA where D={(x,y) | -1≤x≤1, -2≤y<2}

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Q: Evaluate the integral. 7 √49-x² √49-x²-22 49-x² 1 √²-3³ (x² + y² + 2²)1/2 dy dz dx =

A: Solution:-

Q: Evaluate the integral 35 dz 4 by making the substitution u = x* – 6. +C

A: integration

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

A:

Q: Evaluate the integral : S 8x2+10x-6 (x-1)(x+1)z dx (2—1)(ӕ+1)? +C

A: Given: ∫8x2+10x-6x-1x+12dx To do: Evaluate the given integral.

Q: Evaluate the integral √ (k+ 2) ( k + 3) dx

A: Note:- according to the company policy we can attempt only one question so please upload the next…

Q: Find the complete integral of (p2 + q2)y = qz.

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Q: 4. S dy y³-2y²

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Q: The improper integral 2dx is 1-x2 0.

A: π

Q: Evaluate the integral: 2e π/3 √√²² √²/³ t Inutans ds du dt

A:

Q: Evaluate the integral [x²y³² (x²y + xy² + y²²)dxdy dz 001

A: The given triple integral is ∫01∫02∫13x2y3x2y +xyz+yz2 dx dy dz. First integrate with respect to x…

Q: Q2/Evaluated the integrals v2 1- f– (1-v2 )2

A: The integration of v2/(1-v2)5/2.

Q: Evaluate the integral. 3t-2 clt to t +1

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Q: Evaluate the integral. 2 - 121 y - 121 2 -dy, y> 11 dy=

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Q: Evaluate the improper integral t* e-2t 3+e-4t at

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

A: double integration using polar form

Q: Evaluate the integral. 2 2 t+ dt 15 OA. 29 О В. 6

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Q: Evaluate the integral. 2 (8t i - j+ 3t5 k) dt

A: We first separate the integral

Q: 4. Evaluate the integral. (a) (2r-4r + VE) dz + 4x) dr

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Q: Evaluate the integral x2 ds where C is the portion of x2+y2=4 from (0,2) to (-2,0).

A: ANSWER:

Q: Find the integral +C 1 dx x² – 16

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Q: 2 2. Evaluate the iterated integral 6x'y dady

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Q: d) Prove the results of the integrals 3 dx = 2+ In (2)– 4 [In (5)– In (3)]. x² +3x +2

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Q: Evaluate the integral. dy y4 – 16

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Q: p9 ]n Y dy 4

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Q: Evaluate the integral. 7 - x2 | x5y dy

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

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Q: Evaluate the integral.

A: Evaluate the integral.              ∫04-x2x2ydy