Evaluate the integral by integrating with respect to x, y, and z. y X=- + 1 4 5 2 4x - SI dx dy dz 4 y 4 N ILO

Q: 2.0 Hence, evaluste Se? cosz de to 3 decimal places. CoS I

A: According to question given that ∫01ex cosx dx

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A: To find: ∫02∫04∫01x+y+zdxdzdy

Q: Evaluate the integral, AP where, E lies between spheres +y + z = 2 and a + y + = 3. for a 20

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Q: 0. Everlueik he integral (ez)Esmz dz, where Ci12|=1, by any and two methods Compare the geselts.

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Q: Evaluate the integral by choosing a convenient order of integration: « сos(хy) сos1"(тӕ) dA; R —D |…

A: Given

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A: Given:-               I = ∫02∫y/21ex2dxdy

Q: Evaluate the Integral (1+ z²)e²sinz dz, where C:lz=, and Compare byany two methods results. the

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Q: Evaluate the integral using integration by parts. e4 x* In (x)dx 1

A: To Evaluate:

Q: Evaluate the iterated integral given below

A: Given integral is, ∫12∫12ydxdyx+y2. It is integrated as follows: ∫12∫12ydxdyx+y2=∫12ylny2+2-lny2+1dy

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A: Here we have to evaluate the given integral.

Q: Given the integral " Se F(x, y) dydx, which ONE of the following integrals is equivalent?

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Q: area ZA (xy) dx dy y/3 10.

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Q: Choose five other iterated integrals that are equal to the given iterated integral. r2 f(х, у, 2) dz…

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Q: dy dr x+ y 33. a dz dy x² + y 34.

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Q: Evaluate the double integral. 4y dA, D = {(x, y) | 0 s x s 1, 0 sysx} 6x + 1

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Q: Use a change of variables to evaluate the defınite integral. 5 So de V1+z

A: We have to find

Q: Evaluate the integral directly by integration with respect to x and y. 7 x=(y/5)+1 5x-y S S dxdy…

A:

Q: Evaluate the given integral over the given region.  ∬R(x/y)dxdy; R : 2 ≤ y ≤ 4; 1 ≤ x ≤ 5

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Q: Evaluate the double integral: To L 0 y x7 +1 y¹/3 x7 dx dy.

A: The given integral is: I=∫08∫y132yx7+1dxdy   So, The limit of the x varies from y13 to 2. The limit…

Q: Evaluate the double integral x° dA, where D = {(x, y) : 1 < æ < e,0 < y < In x}.

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Q: 1. xe 2* dx; u = x, dv = e 2× dx

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Q: Evaluate the double integral on the given region. // (6xy²) dA; R:0 < x < 1 and x³3 < y < Vã R

A: we have to evaluate the double integral on the given region.

Q: 7 dx. J 2+ Vx – 4

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Q: Evaluate the double integral x cos y dA, where D is bounded by Y = 0, y = x², and x - 2. Answer:

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Q: Evaluate the integral, z' dv where, E lies between spheres2+y += 2 and +y += 3, for z 2 0

A: According to question,E lies between spheres,x2 + y2 + z2 = 2,andx2 + y2 + z2 = 3,x≥0

Q: In(x) d. f(x,y)dydx 1

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Q: 1 Draw the region over which we are integrating, change the order of integration (that is, write…

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Q: Evaluate the iterated integral. 21 441–y² y dx dy 21 441–y² y dx dy = i 0.

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Q: Rewrite the iterated integrals in the order dzdydx 11-y? 1-y SS S f(x, y, z)dædzdy 00

A: The given integral is: ∫01∫01-y2∫01-y f(x, y, z) dx dz dy

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

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Q: dA, D = {(x, y): 0 <x < 4, 0 <ys vã x² + 1 D

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Q: 2. Evaluate the following integral by changing the order of integration. L. /2 ecos(y) dy dx…

A: Given ∫01∫arc(cosx)π2ecosydydx

Q: Evaluate the iterated integral below. TU /4 1 *** s y cos (x) dy dx 0 0

A: We need to find out the double integration.

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

A: Solution…

Q: Evaluate the integral by changing the order of integration in an appropriate 1 1 In7 2× sin (xy³)…

A:

Q: Evaluate the double integral x° dA, where D = {(x,y) : 1 < x < e, 0 < y < In x}.

A: Evaluate the double integral as follows.

Q: b) Determine the volume of D = 5[ 1 dV using integral -zx.

A: The volume of a solid V is given by V=∬∫v 1 dvwhere limits of x,y and z can be found from the given…

Q: Evaluate the integral using integration by parts 1. J xe" dx;

A: Given : Dear student as per our rule in one session we can only solve one question. Please post the…

Q: Evaluate the iterated integral. 6. 8. (x + y + z) dx dz dy

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Q: Evaluate the iterated integral below. П | 1 S. * S'y cas (x) dy Só 0 0 dx

A: While doing multiple integrals, consider everything constant except the integrand variable.

Q: Evaluate the iterated integral. 16-y² ST Jo (x + y) dx dy

A:

Q: Evaluate the following integral using three different orders of integration. SSS:(r: - y') dV ,…

A:

Q: What does the following integral compute? //SE f(x, y, z)dV, where f(x,y,z) is not constant. E

A: In the given integral if the function f(x,y,z) is constant then it calculates the volume.

Q: Evaluate the double integral J[₂x² x³ dA, where D = {(x, y) : 1 ≤ x ≤ e, 0 ≤ y ≤ ln x}.

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Q: Evaluate the iterated integral. 2 (x + 7)dy dx 0. 2 (x + 7)dy dx = i

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Q: Evaluate the integral. H (z(1 – 2z)*) dz =

A: topic - definite integral

Q: Set up the definite integral that gives the area of the region. Y1 = x2 + 2x + 5 Y2 = 2x + 30 %3D…

A:

Q: Write an equivalent integral with the order of the integration reversed: f(x,y) dxdy y T"If(x,y)…

A: Given:      ∫0π∫yπf(x,y)dxdy

Q: The improper integral A) e (В (C) O (D) 1 8 Stoe ex dx is

A: We have to find the value of the integral

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

A: Here in above question we have to find iterated integral.