1. Evaluate the double integral of x+ 2y whose region of integration is represented below. y =1 16 =1+x² 2x

Q: 5. Define if the given improper integrals converge or diverges +0o -dx and 5x2+1 dx a. x²-7 b.…

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Q: Write down the new limits of integration for the integral -1 -1-y IIL" S(7,4, 2) dz dy dæ if the…

A: As per given tripple integral  0  ≤  z  ≤  (1 - y)  x2  ≤  y  ≤  1  -1  ≤  x  ≤  1   Thus, curves…

Q: Which of the below double integrals has the following region? -1 5 4 3- 2 -1 0 Select one: None of…

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Q: || x²v d4 where D { (x,y) : xs y s 2+x, -1sxs2}. 2. sys2+x,-1<x<2}. D

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Q: 2. Evaluate fff 12ydV where the limits of integration is the region below 6x + 4y + 3z = 12 in the…

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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: [² (x − y² + 1) dy dx x² +1 Your answer 2. Sketch the region of integration of the given integral Q…

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Q: d) Evaluate using integration by parts: J(x+ 2)In x dx

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Q: In (x² + y²) Integrate f(x,y) = over the region 1sx²+y² s e5. 2 2 X +y

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

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Q: 3 The triple integral L (x + 2y – z)dxdydz is equal to

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Q: 1. Evaluate the integral and sketch the region of integration fo S e-rro drd0

A: Definition used -              Double integral with polar coordinate -…

Q: 2. Evaluate the following double integral by first reversing the order of integration. (6x-y) dx dy.

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Q: B- Evaluate the following double integrals: .2 .4 1) | (x+ 3y x²)dy dx

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

Q: 1. Evaluate the given double integral by first changing its order of integration 1 •1-y² ye(1-x)² dx…

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Q: 1. Consider the sum of double integrals drdy + y+3 drdy I = I The region of integration…

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Q: 4.) evalnate the integral dx aresinx a. WI-Y b) S x arctanx dx

A: We have to solve

Q: .2 What is the reversed order of integration of 1 dxdy? a. II Vx* +1 dydx 0, O b. x4 +1 dydx 0, .8…

A: Topic:- application of integration

Q: If {(=)dz = f(x)dx f(x)dx + f(x)da f(x)dx, what are the bounds of integration for the first…

A: Solution:

Q: What is the reversed order of integration of dydx O a. 9 x²e®dxdy Ob. 'x³e°dxdy .3 OC. S x³e°dxdy O…

A: NOTE: Refresh your page if you can't see any equations. . the limit of x is  the limit of y is

Q: (a) Evalate the integral||xydy dx. 12

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Q: Sketch. the.region.cf.integratizin.and.evaluabe. thaw .. fallowing. integrals a ..... in2 Ins 2X-년…

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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: (1) Sketch the regions of integration. (a) 3m/2 (b) (r,0)r drdo 3m/4

A: The integrations  (a). ∫-π2π2∫04f(r,θ)rdrdθ(b). ∫3π43π2∫34f(r,θ)rdrdθ We have to sketch the regions…

Q: (1) Determine the region of integration first and then evaluate the integral -1-r dy 1. (2 - y+ 1)dz…

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Q: 7. Evaluate the following integrals. 5x* (a) S ++ sec²x)dx 5x2 (b) S xv7x2 + 12 dx (x + 5) (c) S dx…

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Q: Find the complete integral of 1 dz 1 dz 1 dz z dxz Ixe z z dx2 = x1 X2 X3.

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Q: Set up an iterated triple integral equal to √3-x² | = • S√³/3 SO √√3 x² + y² 3 2-₁/4-x²-y² 2y dz dy…

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Q: )Reverse the order of integration and evaluate the integral dy dx y2 +1

A: Explanation of the solution is given below...

Q: 1. Evaluate the integrals and sketch the region of integration. 1) º, S(+y +1)dædy 2) So , 1 sin…

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Q: Identify the integral with Type I region between S 2ny dx dy and S 2ny dy dx g(y) g(x) and compute…

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Q: 6. Change the order of integration and evaluate the integral y+1 у? dxdy -1 Vy+1

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Q: 7. Extend your knowledge of double integrals to evaluate the triple integral Si Si S (x,y.z) dz dy…

A: Find: the value of ∫01∫0x∫01+x+y fx, y, z  dz dy dx.

Q: 1- f(x, y) dy dx •x+1 f(x, y) dy dx + at is the sum of the four resulting limits of integration? 3.

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Q: Sketch the region of integration and evaluate the integral || dx dy 1 y

A: The Given Integral is: ∫12∫yy2dx.dy

Q: Determine the double integral || e2x-3ydxdy If the region is given as x = -1; x= 2 y =-2; 4x+ 2y 4…

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Q: 8. Identify the integral with Type I region between 2my dx dy and 2my dy - and compute its double…

A: Solution 8: Type 1 region It is bounded by the vertical line x=a and x=b and the curves y=g(x) and…

Q: 6. Change the order of integration and evaluate the integral (**2y+1 dxdy. r+1

A: ∫01∫0y+4 (2y +1)dxdy/(x +1) now change the order of integration ∫0y+4∫01(2y +1)dydx/(x +1) ∫0y+4[(y2…

Q: 1. Evaluate the given integral Q. 2 (y − x² + 1) dx dx dy - 0 y² +1 Your answer 2. Sketch the region…

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Q: 25. Describe the domain of integration of the following integral: LLE /5-x2=22 f(x, y, z) dy dx dz…

A: Domain can be discovered using the bounds of the integral. Domain is 1≤y≤5-x2-z2.

Q: ]] x² + y² 1+ y² dx dy

A: We have to evaluate the integral ∬x2+y21+y2dxdy, Where D:0≤x≤y≤1 Here, limit of x is 0≤x≤y And limit…

Q: If the order of integration is reversed for the double integral Sa ez+yYdydx, the integral will…

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Q: 6. How would you begin to numerically approximate the double integral: bd 1-SSS(x.y)dxdy ac

A: Given integral is   I=∫ab∫cd fx, y dx dy

Q: 3:-Evaluate the integrals and sketch the region of integration (4y")dy dx 2-, (x+y+1)dx dy

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Q: Sketch the domain of integration of the double integral (√(1-x²) La d.x dy x+y √(x² + y²) 0 0 and…

A: We will find boundary curve for domain of integration  . To find value of integral we will use polar…

Q: 4. Evaluate the double integral: LL y x² +1 (Hint: Change the order of integration to dy dx.) dx dy.

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Q: 2. a) Evalute the following improper integrals dx Vx – 3

A: We will solve the problem.

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

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Q: 1. Evaluate the double integral of x+ 2y whose region of integration is represented below. y = 1+ x…

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Q: The particular integral of y" + 5y' + 4y = 3x +2 is

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