Evaluate the integral r4-x2 8x cos y dy dx r2 y – 4 by reversing the order of integration.

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: Q4 Evaluate the double integrals: [(x + + y+1)dxdy

A: Value of the giveen integral is

Q: Evaluate given Integral by reversing the order of integration. -3 |t cos(s?) ds dt, (st – plane) t2

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Q: Evaluate the double integral. (2х + у) dA, D = {(x, y) | 1<ys 4, y – 3 <x< 3}

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Q: Evaluate the integrals in Exercises using integration by parts

A: The integration given to us is  ∫tan-1ydy            (1)

Q: Evaluate the improper iterated integral. x2 dy dx 1 + y?

A: The solution is given in the next step.

Q: (x + y) dx dy Jo Jy/2

A:

Q: Evaluate the double integral: 2 So de dy. Sola 0 Jy¹/3 Y x7 +1 (Hint: Change the order of…

A: Application of integration

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: Sketch the domains of integration of the double integrals (a) Laxf dx xydy √(1+y) 0 R/2 (b) dy (cos…

A: Here, we need to sketch the domains of integration.

Q: The reverse order of the integration J. Jy f(x,y)dxdy is A) SF f(x, y)dydx B) f, J fcx,y)dydx C) S,…

A: Here we have to change the order of integration.

Q: Evaluate the iterated integral -6x-x² xy dy dx, (x² + y?)3/2

A: Given: Now let us calculate the given iterated integral by using polar coordinates,…

Q: Calculate the double integral. 3xy? dA, R = -{(x, m10 sx 5 3,-25 ys 2} -2 s ys2} .2 + 1

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Q: Reverse the order of integration and evaluate the integral: (a) [/ 2y° sin zy dy da (c) / dy dx 포 y4…

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Q: Evaluate the double integral. 7x dA, D = {(x, y) | 0 <xS A, 0 s y s sin(x)}

A:

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. y dy dx O - 3x

A:

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

A: Evaluate ∫ye2ydy

Q: Reverse the order of integration in order to calculate the following integral: C. S 2 1+x4 dx dy.

A: I have stated the used formulas in the solution

Q: Reverse the order of integration in the following integral. 7 14-2x !! f(x.y) dy dx y14-2 Reverse…

A: From the given integral; I=∫07∫014-2xfx,ydydx Now find the x-intercept and y-intercept.…

Q: In 4 r4 1 dy dx ex In y

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

Q: Evaluate the iterated integral. /2 x. 4 cos (x + y + z) dz dx dy

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Q: Evaluate the double integral by reversing the order of integration x/1+cos² æ dxdy V2 – 1 А. 3 2/2 –…

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

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

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

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Q: C for the con

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Q: Evaluate the integral 2 // cos(x?) dx dy y by reversing the order of integration. With order…

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Q: Evaluate the iterated integral. 19-y2 y dx dy 3 /9-y² у dx dy — i

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Q: Evaluate the double integral f S(ax cos(y) + by +8) dx dy where R: |x|+ |y| < 8. R

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Q: Change the order of integration in the integral T" f(x. y) dx dy.

A: The integral is given as, I=∫01∫y2yfx,ydxdy In this integral, horizontal elemental stripdxdy is…

Q: Find the integral. (Use C for the constant of integration.) (t + 3)cos t2 + 6t) dt

A: Consider t + 3 as u. Then,

Q: Q1/Evaluate the integral: -За (2Vах dy dx x2 0, 4a by changing the order of integration.

A: We have to solve given problem:

Q: Consider the integral 16–z² x? dz dy dx x²+y²

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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: Q4 Evaluate the double integrals: ||x+y+1)dxdy

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Q: Change the order of integration in the ihtegirul dx 1=, dy 1+Vi=y 1-VI-y (x-2x+y-3)² and hence…

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Q: Evaluate the integral. /9-x2 dy dx dz = /9-x2 (x² + y²)!/2 3 J

A: Straightway, without any further delay, please convert to cylindrical coordinates: x = rcost; y =…

Q: (i) Change the order of integration in the integral Vi-x dx dy (1+ev)NI-x²-y and hence evaluate.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: x? Use the residues to evaluate the improper integral: -dx . (x² + 1)(x² + 4)

A: According to the given information, it is required to evaluate the improper integral using residue…

Q: Reverse the order of integration in the following integral. 81 vy f(x.y) dx dy 0 y/9

A:

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

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Q: Reverse the order of integration in the following integral. 7 35, 5x f(x.y) dy dx 0 0 Reverse the…

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Q: Calculate the iterated integral. (x + y)² dx dy

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

Q: Evaluate the exact value of the multiple integral. 2 In 2z c2y e*dx dy dz 2 Jinz -y

A: This question is related to definite integration, we will solve it solve it using given information.…

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

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Q: x – 2 dx 9. J x² (x – 1)²

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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. (x² – y²) dy dx J-4

A: Given the double integrationI=∫−11∫−44(x2−y2)dydx

Q: Evaluate the iterated integral. 16 - y2 4 (x + y) dx dy

A: