Express the iterated integral in the opposite order. f(x, y) dy dx J7x/8

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: Calculate the integral O (y – e*) dx + (3x + e') dy where L is along the curve x + y´ : = /x2 + y² -…

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Q: Express the iterated integral in the opposite order. dy dx

A: First option is the correct option. Find the region of the integration graphically. The value for y…

Q: Evaluate the iterated integral. 21 V441-y у dx dy 21 441-y у dx dy %3D i

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

A: We will evaluate the integral one-by-one with respect to x,z and y

Q: rln z xe' dy dz dx 0.

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Q: In y dy dx 1 xy 20.

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Q: Evaluate the iterated integral by choosing the order of integration. e( 4x In(y) Зy In(x) dy dx

A: We have to compute the double integration

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

Q: Evaluate the iterated integral. 30 900- y dx dy 30 900-y y dx dy = i

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Q: Evaluate the iterated integral. z sin(x) dy dz dx

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Q: Evaluate the iterated integral. T/2 "y/87/y sin y dz dx dy 0/ 0/

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Q: Evaluate the iterated integral: S", Si yz dx dz dy.

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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: evaluate the iterated integral.

A: Consider the integrals, ∫01∫01y1+xydxdy…

Q: 4y?-25 dy 3. y f

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Q: Express the integral Js(x) dx in terms of Jo, J1 and J2.

A: Bessels function identity:  Jn+1(x)=2nxJn(x)-Jn-1(x) Given: ∫J5(x)dx

Q: Evaluate the integral. integral y e 2y dy

A: Evaluate ∫ye2ydy

Q: 2x f²f²² (x² + 2y³) dy dx. Write the iterated integral in the previous item using the order dx dy.

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Q: Evaluate the iterated integral. 16 zy dx dy 16 Py dx dy = i

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Q: Evaluate the iterated integral.

A: Consider the following integral: ∫13∫0y4x2+y2dxdy=I Consider the following formula:…

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: z sin y dy 2

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Q: Evaluate the iterated integral f Só 6x²y° dxdy

A: Given:    ∫03∫02 6x2y3 dxdy

Q: (a) (x2 + y?) dx dy J2

A: To calculate the integral: ∫-11∫24x2+y2dx dy Solution: When we will integrate with respect to one…

Q: Evaluate the iterated integral. 10xyz dz dy dx 0 Jx

A: ∫02∫x2x∫0y10xyz dz dy dx= 10 ∫02∫x2xxy z220ydy dx= 5 ∫02∫x2xxy3dy dx= 5∫02x y44x2x= 54∫02x16x4 -…

Q: Evaluate the iterated integral. 3y (x+y 18xy dz dx dy Jo

A: The given integral is ∫01∫y3y∫0x+y18xy dz dx dy. The main objective is to determine the value of the…

Q: -1 (1x+y dxdydz 2 а. -2 J0

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

A: Here we have to find given iterated integral.

Q: evaluate the iterated integral.

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Q: Evaluate the iterated integral by choosing the order of integration. 4 In(y) + dy dx /1 2y + 1

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Q: Evaluate the iterated integral. 2 *4z [In(x) f Jo xe Y dy dx dz

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Q: Evaluate the iterated integral. ||| x*y² + z² dx dy dz 0.

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

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Q: V 11y2 – 15 dy y2

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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: Calculate the iterated integral. 5xyV x? + y? dy dx

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

A: Given, ∫0π4∫01y cos(x)dy dx

Q: Evaluate the double integral f S (ax cos(y) + by + 6) dx dy where R: |¤|+ \y| < 2. R

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Q: Q2. Evaluate the iterated integral by changing the order to dx dy. eu dy dx

A: For reversing the integration order, we will replace the limit of x and y with interchangeably. Then…

Q: - dx dz dy . x² +z? Evaluate the iterated triple integral

A: To evaluate the triple integral: ∫02∫0y∫0z3zx2+z2dx dz dy

Q: Evaluate the iterated integral. 24 V576-y у dx dy 24 V576-y2 y dx dy = i

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Q: Evaluate the triple iterated integral x dz| dy d

A: Solution of given question is followed by:

Q: Evaluate the iterated integral. 4y (x + y 18xy dz dx dy

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Q: Evaluate the double integral. dA, D = {(x, y) |0Sx< 5,0 < ys Vx} x2 + 1

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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. In(x) xe Y dy dx dz 2z J3 Jo

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Q: Evaluate the iterated integral. 5x (x + y²) dy dx J4x

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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.