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

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

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A:

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A: Use the substitution method of integration

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A: From the following integrals will yield ln u+C Note:     Multiple questions are given, we are answer…

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A:

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

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A: Given integral:

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A: Given:-                               Evaluate the integral: ∭Dx2+y2+z2dxdydz…

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A:

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

A:

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:…

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

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A: Given:                 ∫02a3-αdα Apply u-substitution: u=3-α⇒du=-123-a…

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

A:

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A: In the question we have to find the integral of the given function.

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A:

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

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Q: - Evaluate the following integrals (1) [a - 2)Vzdz (ii) 2-t4)4 t3 dt (iii) / ** – 5x* + 6x² – 18 x3…

A: Solve integration

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

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

A:

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,

A:

Q: 10.) Find the integral of* 3 (-4y ) ( +14y-7) dy

A: We need to evaluate ∫3y6-4y-3y7+14y-2-76dy                          (1) Let y7+14y-2-7 = t On…

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A: Given ∫42824yy2-16dy

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

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

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

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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)

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

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Q: dy J. 1. 2.

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Q: Evaluate the integral, 00 xn+1e-a²x* Jn(bx)dx, a > 0, b> 0,

A: Bessel's function of first kind of order n, denoted by Jnx is defined as Jnx=∑r=0∞-1n22rr! γn+r+1x2r…

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A: ANSWER:

Q: The Particular Integral for (D² + 19)y = r is O Yp 응 500 O yp= (z) 19 O None O yp =

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

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