6 (y/3)+1 (*) (3x-y dxdy 3 y/3

Q: Evaluate the iterated integral. 4z (In(x) xe- dy dx dz J3

A: Formulae used∫e-ydy = -e-y + C∫x2dx    = x33 + C ---------------------------------------- I…

Q: Evaluate the iterated integral. 4 (x² - y²) dy dx -4

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Q: dz 2 t´ + Zz-3

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Q: Evaluate the iterated integral 1-х* dx dy. yl/3

A: The given iterated integral is ∫01∫y1311-x4dxdy. From the limits of integration, we have 0≤y≤1 and…

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

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Q: Compute the value of the following improper integral. If it is divergent, type D. 1 dx 0.

A: To compute the value of improper integral.

Q: Q3. Use Romberg integration to compute R33 for the following integral. 1.6 2x dx x² -1

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Q: Evaluate the iterated integral below. π T/4 A lago S. 0 1 y cos (x) dy dx

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Q: Evaluate the integrals: V2 1- dx (T/2 7cost sin t dt 2-

A: as per our guidelines, I am solving only the first question with both parts please resubmit other…

Q: Use Romberg integration to compute R3,3 for the following integral x sin x dx

A: Given integral is, ∫01xsinx dx Then, h1=b-a=1-0=1h2=b-a2=12h3=b-a4=14

Q: Find the complete integral of the PDE z = px + qy – sin (pq)

A: Given partial differential equation z=px+qy−sinpq.....(1) We have to find the complete integral of…

Q: Evaluate the integral r4 pr=/2)+1 2x –- y -dx dy 2 o Jx=y/2 from Example 1 directly by integration…

A: Given,         ∫04∫x=y2x=y2+12x-y2dxdy=?

Q: 8x Evaluate the given integral Jo (4+x²)2 dx using the substitution u = 4 + x². A. Estimate to three…

A: topic - definite integration

Q: 6 0/3)+1 (3x-y |dxdy 3 y/3

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Q: 1 dA 1+ 6y x [0, 1] sin(2x) R - %3D 4' 2 R

A: Given: ∬sin2x-11+6ydAR and R=π4,π2×0,1 To find: The value of integral.

Q: Evaluate the iterated integral below. π/4 1 Só S"!+S": 0 0 y cos (x) dy dx

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Q: Evaluate the iterated integral. 21 4 (x2 – 2y2) dx dy

A: We need to evaluate the following iterated integral ∫12∫04x2-2y2dxdy

Q: Evaluate the integral -4-2 8x Cos y dy dr y – 4 by reversing the order of integration.

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Q: dx (1 – e²)² -1

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Q: 4. S (y³+4)dy y(y+1)

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Q: In 4 r4 1 dy dx ex In y

A: We have to evaluate the integral                                      ∫0ln4∫ex41lnydydx The region…

Q: Find the total differential of the following: 1. f(x, y,z) =-tan'(x + y +z)+ In(xyz)

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

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Q: Evaluate the iterated integral [² [² 2e3² dy dx by changing the order of integration.

A: The given integral is ∫02∫x22ey2dy dx In original integration, the integration order is dy dx. Our…

Q: Compute the following integral below using integration by parts. So t³ In(t)dt. •1

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Q: Evaluate the integral with the order reversed. dx dy -2 0

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Q: Evaluate In x dx exactly by changing it to a dy integral.

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Q: aluate the Cauchy principal value of the given improper integral. dx (x² + 1)²(x² + 9)

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Q: Evaluate the iterated integral. 21 V441-y у dx dy

A: NOTE: Refresh your page if you can't see any equations. . ..............(1)

Q: H.W: 1- Evaluate the following integrals St7t?+12 dt - S- ol X (4x2 +1)3 a -

A: a.  ∫t7t2+12dtLet 7t2+12=x⇒14tdt=dx⇒tdt=dx14∴∫t7t2+12dt=114∫xdx=214×3x32+c=1217t2+1232+cwhere c is…

Q: compute the given approximation to the integral.

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Q: Reverse the order of integration in the following integral. cos (x.у) dx dy

A: The given double integration is: ∫05∫0cos-1y5f(x,y)dxdy The limit of x in the given integral is…

Q: Calculate the following integral by applying the transform u=(3x-y)/3, v=y/3 and integrating over a…

A: Given,            ∫06∫y3y3+13x-y3dxdy                               (1) and                u=3x-y3…

Q: (xz - y³) dv, where E = (x, y, z)| -1 s xs 3, 0 s ys 4, 0 szS7

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Q: Evaluate the iterated integral below. π | 1 S. S'y cos (x) dy dx 0 0

A: Here in given question we have to find value of iterated integral.

Q: ∙1 Ꮭ ᏝᎽ 1-x-y z dz dy dx

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Q: Evaluate the improper integral A 0 (B 4 C diverges 2 D 9 mit 2 3 -2 X 3 dx

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Q: Evaluate the integral. Clearly indicate u-substitution steps if required. 19 J2+ 5y

A: Given integral is ∫195+2ydy evaluating the integral with u substitution

Q: Calculate the following integral: 4 I V16 - x dx .2 0.

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Q: Find the integral by Integration By Parts. 2. 0 cos r0 de 3. cos t dt 4. x² sin x dx

A: Integrating By Parts Rule.

Q: Evaluate the following indefinite integrals. 1. Jx²dx 2. S(x³ + 2x)dx 3. S(a)dt :a = constant

A: Solving the problem by finding the indefinite integral.

Q: Evaluate the Cauchy principal value of the given improper integral. 1 [ (x² + 4)² dx

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Q: Find the general indefinite integral using definition. (3t*-t³+6t²\ a) dt b) S(3 sin x – 4e* + 5* +…

A: Part a,Given,          ∫3t4-t3+6t2t4dt

Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) YV 6 +…

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Q: elx) dx dy

A: We have to find the integral by reverse the order…

Q: 15. Evaluate the integral ſo S, x²y² dy dx (a) directly, (b) integrating with respect to x first and…

A:

Q: Which of the following integrals are improper? (Select 3 L₁x²-1 dx 3x - 1 1 06²/21 x ² = 1 dx 2x 00…

A: Topic:-  improper integration

Q: 1 dx. 10. Evaluate the improper integral m 64 + z²

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Q: Evaluate the integrals below. 4 x+6 dx 1 VX TE/7 a. b. " sin(t) dt J/3 c. x Vx3 +2 dx

A: As per guidelines, we have to solve only first three subparts. The given integral are: a. ∫14x2+6xdx…

Q: Find the integral of f (z2 +x2 + y33) dt.

A: Given : ∫z2+x2+y33dt