Evaluate the integrals .SiPi+7 j+(t+1)k] 4 S (sinti+(1+cost)j] -a4

Q: Evaluate the iterated integral: , S (2x²y + 3ay") de dy.

A: The objective is to find the value of the iterated integral ∫-12∫242x2y+3xy2dxdy First integrate…

Q: Evaluate the integral. 6. 9 In(y). dy Vy J4

A: Given,             ∫49lnyydy

Q: Evaluate the integral. * 64 In(y) Ap Vy J49

A: To evaluate the given integral.

Q: Evaluate the integral. (e* i + 4t j + In(4t) k ) dt + C

A: The given integral is: ∫et i+4t3 j+ln(4t) k dt

Q: 3 Evaluate the integral de using the two-point Gaussian quadrature rule O -|4 1035 N/N N/W 끔

A: We have to evaluate the integral ∫−3311+x4dx by using two-point Gaussian quadrature rule. Here,…

Q: 1 dɔ V9-x² 3

A:

Q: Find the complete, singular and general integrals of p3 + q3 = 27z. %3D

A: We have to find the complete, singular, and general integrals of:  p3+q3=27z

Q: Evaluate the iterated integrals: 4 2 S[x* +xy}dydx 0 1

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

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Q: The approximation of the integral -2) In (x+2)dr using the two points Gaussian quadrature மாmua is)

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

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Q: Evaluate the integrals in ∫2y dy/y2 - 25

A: Given integral:

Q: Evaluate the integral *(* – 10)"dz 6 by making the substitution u = 1 z° – 10- +C

A: ∫un du = un+1n+1+C ; where 'C' is an integration constant.

Q: Find the complete integral of the z'(p°z² +q°)=1

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Q: Evaluate the integral: rV1+ 25 /1+ 25z°dz + C

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Q: Evaluate the Integrals S(** - 8x + 7)dx а. 3 dt b. Jo 1-16

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Q: Find the integral of r(t) = (3t2 + 4t, 2, e') from 0 to 1.

A: Consider the following vector: rt=3t2+4ti^+2j^+etk^ Integrate the above vector:…

Q: Is dz

A:

Q: Evaluate the integral using the given substitution. 18(6x- 2)6 dx , u = 6x - 2 0.(6x - 2) +C O (6x -…

A: The given integral is ∫186x-2-6dx and  u=6x-2

Q: 1- Find the integral of: 2 cot - de T/2 A- B- / dr Vr

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Q: Use the method of u-substitution to evaluate the given integrals. 4t dt 2 – 812

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Q: Evaluate the integral. et i + 3t2 j + In(5t) k) dt + C

A: We have to evaluate the given integrate…

Q: 55-х 5—х-у SS J dzdydx 0 0 0

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Q: Evaluate the integrals

A: Solution -  Given Integral equation - y = ∫π201+cos2t2dty =12∫π20dt + 12∫π20cos2t dtUsing…

Q: Determine the integral solutions for which x and y are positive. 2x + 5y = 17

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Q: Evaluate the integrals in ∫7cos t sin t dt

A: Given Integral,I=∫7 cos t sin t dt

Q: 1- Find the integral of: A 2 cot - de 3 T7/2 А-

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

A:

Q: 4t dt 2 - 812

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

Q: Q1/ Solve the following iterated integral: SL. ex-ydA, R: 0sxs In 2, 0sys In 2.

A: 1) We have to solve the iterated integral ∫∫nR ex-ydA where R= 0≤x≤ln2 ,0≤y≤ln2

Q: Evaluate the integrals. In 3 6tei + Te'j+ 2 ln tk dt 18(In(3)-1)i+7(3-e)j+2(In(3))(

A: Topic- integration

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

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

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Q: 6. Compute the following integrals using Residue Theorem. 5z - 2 a. dz S dz b. So 22(2-1)" z(z-2)4…

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Q: Evaluate the integrals ∫(t + 1)2 - 1/t4 dt

A: To evaluate the integral: ∫t+12-1t4dt Evaluating the given integral.…

Q: Evaluate the integral. du 2 u3

A:

Q: The value of the double integral 32 dæ dy is O- 1536 O 1536 O 3072 -3072

A:

Q: Evaluate the integrals ∫ e4t + 2e2t - et/e2t + 1 dt

A: Consider the following integral:…

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

A: We first separate the integral

Q: Evaluate the integrals

A: Given information: ∫141ti+15-tj+12tkdt

Q: Evaluate the integral. I sec (8x) dr tan(8z) In(cos)(3r) 64 +C X

A:

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

A: ANSWER:

Q: Evaluate the integrals S[ti+7 j+(t+1)k]

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Q: 81. The particular integral of x2 d²y A) 3x +y = is |3D de 6x 769

A: We can find the first and second derivative for the given options and check in the  differential…

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

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Q: Evaluate the integral fos√²²-1 f√²-1. 2x by first rewriting in the order dxdy. Enter the numerical…

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Q: 1. Evaluate the integral using the given substitution xcos(9x2)dx u = 9x2

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Q: 6. Compute the following integrals using Residue Theorem. 5z - 2 b. dz a. √21-23 = dz · Soz (²-2) 4…

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Q: Evaluate the integrals in ∫2 t e-t2 dt

A: Given:2∫ t e-2t dt