T/3 L, S, Srª yz tan xdxdzdy

Q: Solve the following iterated integrals holding Fubini's Theorem. dydx i. (x+y)? yx2 – y²dydx ii.

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Q: Evaluate the following integral. JJ (xy + xz + yz) dV; D = {(x,y.z): - 25xs2, - 4sys4, -1szs1} JJI…

A: ∬∫Bf(x,y,z) dV = ∫rs∫cd∫ab f(x,y,z) dx dy dz                         where , B=a,b×c,d×r,s

Q: Evaluate the following integral, (x – 4y) dx – 10y² dy where C is given by x = y² + 3 from (4, 1) to…

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Q: -Inx 2. S S" So ye dzdxdy y

A: To evaluate: ∫12∫yy2∫0ln xyezdz dx dy

Q: Evaluate the following double integrals: o cos(r + y)dydr Si * y sin(r + y)d.xdy

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Q: evaluate the iterated integral.

A: Evaluate: ∫-10∫-11 x+y+1 dx dy

Q: Evaluate the improper integral: dx x In(x) а) 012 b) 02 c) Odiverges d) 01 e) 06

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Q: Evaluate the following double integrals. (a) f 2.xy² – 4x'. dA where R= {(x,y):1<xs2,-15ys1}. R

A: Given information:-

Q: Consider the following integrals 6 sin z i. 12 +8 et dt I. edt - 1

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Q: Evaluate the following double integral and enter the value into Ans: || 7xye"vdA, R = [0,1] × [0, 3]…

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Q: Evaluate the following integral. (xy + xZ + yz) dV; D= {(x,y,z): - 2sx<2, -1sys1, - 4szs 4}

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

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Q: Compute each of the following line integrals. Cos(e=") ) dx + (x² + y+1) dy, where C is the circler…

A: Given integral is  ∫Cy-ecosex5!dx+x2+yy+1dyWhere C is the circle r=2.

Q: compute the given approximation to the integral.

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Q: Evaluate the given iterated integral by reiterating it in a given order ex'dy dx dz = dz dy dx Z.

A: Integration is the process of finding the anti-derivative function of the given function.…

Q: Evaluate the following iterated integral by reversing the order: 2.x cos(8y – y?) dy dx -

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Q: Evaluate the iterated integral. TT V4 – z² z sin(x) dy dz dx

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Q: Evaluate the following triple integral. zsec² (y) dz dx dy.

A: Triple integration

Q: Evaluate the following iterated integral. l-x-y 3 dz dy dx 1-x cl-x-y

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Q: Evaluate the following iterated integrals. r2 -4–x² 1-y? xe?y dy dx 4 – y (b) /Jn(r² + y² + 1) dr dy…

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Q: a. In y = dy

A: We have to solve integral

Q: Consider the following integral: 1 1 I = 2ey? dyd: 0 x

A: Given: ∫01∫x12ey2 dy dx

Q: Which of the following integrals diverge? (A) / Im(z)dr (B) *- (C) * x +1 -dx x2 dx (C) + 1)(x+2)

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Q: Evaluate the following iterated integral. 19 12y dx dy dx+y? 0 4

A: Consider the provided integral, ∫01∫4912yx+y2dxdy Evaluate the provided integral. Simplifying…

Q: , evaluate the given double integral. I sinxcos(y – n)dxdy 10.

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Q: Evaluate the following triple integral by hand: 2 }}} ij X'√= dxdydz= y³ z=1 y=2 x=-1

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Q: S, z? ( z³ – 1)* dz

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Q: and evaluate the Sketeh, integral reverse Jy dx

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Q: Which of the following improper integrals diverge? 00 dx x2 0- 1 dæ x2 + 1 dx 2 O 2* da 2.

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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: b. L, , yz tan xdxdzdy

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Q: ** . 1 x+y S dxdydz -2

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Q: I. Evaluate each of the following iterated integrals. T/2 siny 1. dxdy

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Q: I. Evaluate each of the following iterated integrals /2 (siny Jo 1-x- 2. S* clnx ye²dzdxdy

A: Using double integral. As per our guidelines we are supposed to answer?️ only one question. Kindly…

Q: Calculate the following double integral, where R = [1,3] × [1,2]: 1 dA. 1+ x + y R

A: Given÷

Q: Evaluate the following integral: •Vx+4 sin(y – 3y?) dy Jx+4 | 2

A: First we integrate the given function and then we put limit and simplify.

Q: Evaluate the iterated integral: I 2² In(y) dy dæ

A: evaluate the integral ∫-22∫12x2 lny dy dx

Q: Calculate the following iterated integral by first interchanging the order of integration 4 = S S…

A: The solution are next step

Q: What does the following integral calculate? f(x, y, z)dV E

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Q: Calculate the following integral z +1 dz, z2 – 2z Iz|=p both when 0 <o<1and when 1 so<.

A: Given: ∫z=ρz+1z2-2zdz

Q: Evaluate the following integral using the Weddle's rule and h = 0.1. 1.6 I xp,

A: Weddle's Rule: Let the values of the function f(x) is fi at points xi with equally distanced by…

Q: Evaluate the following integrals. i) S Vỹ+ + edy i) /x Vx? – 1 dx x+2 dx x2+4x-2

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Q: 1 (a) . Ta – 2)3/2 dr. e1/z dr.

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Q: Write five other iterated integrals that are equal to S, L f(x,y,z)dz dx dy.

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Q: Evaluate the iterated integral. 6 r8 × Jo Jo (x + y) dy dx

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Q: Evaluate the following integral= i. SxIn(x+1)dx

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Q: A. Evaluate the following integrals: 1. Sx² e*³dx et3

A: To evaluate the given integral.

Q: -t/2 rsiny 1. Vi-x? dxdy V1-x²

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: 7. fx² cos mx dx, where m is constant.

A: We have to solve the integral