11. Evaluate the double integral of x+ 2y whose region of integration is represented below. - 2r

Q: Q.3 Find the double integral for Sl. x2 dydx, where R between y = -4/x y = -x and x = -4

A: Ti evaluate the given double integral  first we draw  the region

Q: Evaluate the double integral. LL. 3 (x² – xy2) dy dx -3

A: first, we integrate with respect to y

Q: Find the integrals by the method of partial fractions. x² – 3x + 4 dx ·J (a +1)(x – 1)(r+2) 1. 5х —…

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Q: 1 1-xl-x²-y? Evaluate the integral S S [dz dx dy 0 0 0

A: We will evaluate the given integral in this question.

Q: 14 Find the integrals using integration by parts. a. Jx(x+ 4) dx b. JVF In Vrdx c. fr'e"dx d. [ (In…

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

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Q: 14 Find the integrals using integration by parts. b. JF In /rdx In a. fx(x + 4)°dx c. fr'e"dx d.…

A: Just multiply by 1and go ahead.

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: 3 Calculate the integral: dx x² V25 + x2

A: Here first put x=1/t and then the expression inside the square root as y^2. As showing in solution

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

A: Consider a function f(x, y) defined at every point of the 2-dimensional finite region A Divide A…

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: Evaluate the derinite Integral. #5 In(x) dx

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

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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: x³ + 6x2 + x+2 2 Tan Ve fx-1 ax + In{(x+ 1)*(x² – x + 1)"| + The resulting integral of -X+ -1 + C,…

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Q: 10 | (2)dr = f(x)d.r + / f(z)dz f(x)dz, 2 what are the bounds of integration for the first integral?

A: Given,           ∫abfxdx=∫-28fxdx+∫810fxdx-∫-25fxdx

Q: 3 by taking n= 6 [In x · dx solution of the integral with Simpson's • method 3. (y, + y2 + y4 + y3 +…

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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: 1. Evaluate the given double integral by first changing its order of integration r1-y² ye(1-a)² dx…

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Q: 1. Sketch the region corresponding to the double integral •2 x+2 dy dx -1 Jx² and reverse the order…

A: A cartesian coordinate system contains two mutually perpendicular number lines named x-axis and…

Q: 10 Why is J 5 Vx-5 11 =dx an improper integral?

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Q: Evaluate the double integral. [[ ×20 (2+2y) dA, D is bounded by y = x, y = 2³₁x20

A: off

Q: If 9. 3. 6. f(x)dx = || f(x)dz + 6. what are the bounds of integration for the first integral?…

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Q: ii) √²√³ xy² S¹S. -dydx -3 x² +1

A: Evaluate the iterated double integral.        ∫01∫-33xy2x2+1dydx

Q: 1. Sketch the region corresponding to the double integral rx+2 dy dx x2 and reverse the order of…

A: One of the two main parts of calculus which are concerned with the study of integrals, as opposed to…

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

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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: 1. Evaluate the integrals (a) fxsin 2xdx, (b) f(3x - 1) eª dx, Hint: Use the Integration by Parts. 3…

A: SOLUTION-

Q: 10.) Find the integral of* 3 (-4y ) ( +14y-7) dy

A: We need to evaluate ∫3y6-4y-3y7+14y-2-76dy                          (1) Let y7+14y-2-7 = t On…

Q: (유) 6. dy dr Evaluate the double integral:

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Q: 4. S dy y³-2y²

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Q: 5) Find the follow ng integrals dx 5 Sin'x cosx de JT-6x assecextany dx d)J2-x dx e) change limits…

A: Since you have posted multiple subparts question in this question so I have solved first three parts…

Q: 14 Find the integrals using integration by parts. -2 b. JVF In Vxdx a.

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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: 2. Sketch the region of integration and reverse the order of integration. S " f(x, y)dydx

A: see 2nd step

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: 6: Change the order of integration; -1 f(r, y)dydr + f(r, y)dydx

A: Interchange the x and y limits For first part y=x⇒x=y2x=0, y=0x=1, y=1∫01∫0x f(x,y)dydx=∫01∫0y2…

Q: Find the c that satisfies the MVT for Integrals. f(x) = x² [0,4]. over

A: Given: f(x)=x2,  [0,4]

Q: 4. Determine the following indefinite integrals: a) S(2x + 3x -7x2 + x-5) dx %3| b) S(x – 5)² dx g)…

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Q: The value of the double integral a x dn dy is 0,

A: To find ∫-aa∫0a2-x2x dx dy : ∫-aa∫0a2-x2x dx…

Q: 2. Sketch the region of integration of the given integral Q in #1. Set up Q by reversing its order…

A: The integral is given as Q=∫01∫y2yx-ydx dy. We need to sketch the region of integration of the…

Q: 5. Find the particular integral of d²y + dy - x2 + 2x + 4 dx2 dx

A: We use the operator method to find the particular integral of the given differential equation.

Q: # 4. Using the known areas, find the integrals. S,(1– |x|)dx b. S',[2 + /1– x²]dx а. -

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Q: area of the region. y1 = x2 + 2x + 2 y2 = 2x + 11

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

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