12.1.12.2: Problem Calculate the double integral of f(x, y) ov indicated in the following figure: y 4 3 f(x, y) = –14ye" 2

Q: 4. Evaluate the following integrals: (a) S (2x³ – x² + 3) dx (b) S x*Vx5 – 1 dx (e) Í T ds 2s+3 (d)…

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Q: 14. Evaluate the integral. 4 (y - 2)(2y + 1) dy

A: Given that : The integral is ∫04 ( y - 2) ( 2y +1) dy

Q: 1. Find the following indefinite integrals (any 4) +3x ii) [(2{/x* - 7x' +10e* – 1)dx iii) [(x²…

A: To evaluate the given indefinite integral.

Q: 10. Evaluaté the following integrals (b) J3 -6a+13 1 (a) S x²+1 -0 x4+1 ;d.x

A: We can solve this using partial decomposition and using integral

Q: 10. Jljul * If µ(x, y) = x" y"is an integratingfactor of the the DE. (12 + 5xy)dx + (6x y + 3x²)dy =…

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Q: Q.1) Evaluate the following integral 2dx x (3(ln z)2 + 12 In r- 15)

A: The given integral is: I=∫2 dxx3 (ln x)2+12 ln x-512

Q: 3 1 Evaluate the iterated integral 12x -1 0 3 1 °dy dx = -1 0

A: Evaluate the iterated integral.       ∫-13∫0112x2y3dy dx

Q: 3 2 Evaluate the iterated integral x cos y dy dx. 2 3л 2

A: Ans= 5/2=2.5 For detail go through the solution...I have solved step by step in detail

Q: -2-3 Evaluate the integral o S Jy² 2y dx dy.

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Q: 3 Suppose g(t) dt = 23. Calculate the following integrals: 6. (a) dt 3 (b) g(3 – t) dt = %3D

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Q: 8 4 8 Suppose that f(x) dx = 7 and f(x) dx = -6, and g(x) dx = -1 and g(x) dx = 4. Compute the given…

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: 2. Evaluate the integrals. (a) S (b) [9rc (c) J (d) O 1+ e²r 9x cot(x²)dx -do -dx cos sin² 0 +1 -dx…

A: As per the guidelines we can solve 3 parts only

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 Evaluate the integral ſ² ſ² ſ²₁ xz(y + 1)dxdydz

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Q: 4 Evaluate the iterated integral (2x + y)2 d 3.

A: we have to find

Q: 19. fy/6 + 4y – 4y² dy

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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: 1. Evaluate the given integral Q. -2 2y-2 -K² Q Jo 1 = (xy-1) dx dy

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Q: The particular Integral of Dy = -5 is Yp = 00 Yp = 0 Yp = -5x O None of the choices Yp 2

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Q: 2. Evaluate. th fallowing.integrals.a.fte..seueo.ing.the arder.af.integratren. dyd x Ans..In7)4…

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Q: -1²- 5. Evaluate the integral e dV, where E is the region between two cylinders z²+z² = 4 E and 2²…

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Q: In 11 11 Change order of integration in iterated integral S S f(x,y) dy dx.

A: The area represented by given integral is

Q: 1.1 Determine the following particular integrals: 3 1.1.1 2х D³ -8 1 Ka² – 3)e* } 1.1.2 D² – 2D +3

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 1) Calculate the following integrals: 1. S (5 +2)“ dz 2. fxe-a*/4 dx 3. S2-YE do x²– + Vx? 4. Sda…

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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: 15. Evaluate the following integrals: (b) , Tax+1)3/2 (c) f, (8)05xdx. 30 8 dx (a) J 7x+5)1/3 ' -dx,

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Q: 8-12. Evaluate the following integrals: (a) / : | 2 In(t) dt 1 (b) / (3 – 2)e*. | (c) / Vi ln(t) dt…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 14 10ху To compute / Js x²+y²+3 ) axa you do the u substitution: u = (Notice that this is a…

A: Solution is here

Q: 7. Evaluate the following integrals. 5 a) e dr -5 .2 b) (y – 1)(2y + 1) dy

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Q: The following integral is  The integral of g(x)dx from 7 to 2

A: The given integrals are,

Q: 1. Evaluate the given integral Q. /9-y² Q 3r (2x - 2) dz dy dx

A: Note: As you asked solution for only Number (1) so, I answered here only Question (1).

Q: 2.5. Use integration by parts to evaluate the following: 2.5.1. In (1 + z*) dz [ con VE dz (3)…

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Q: 1- Evaluate the following double integral using Ax = Ay = 0.5, and Trapezoidal Rule of Integration.…

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Q: 7/4 27/3 Evaluate the iterated triple integral S S Se sin(y) dp dy do. Present the answer as a…

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Q: 1 4 1 Evaluate the integralI]+y? +z?)dz dy dx. ||Q? +y? +z?) dz dy dx. 0 0 0 1 4 1 [[[+y? +2?)dz dy…

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Q: integral x^2 e^2x

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Q: 2. Evaluate the following Integral by using suitable method: S(ē3y dy 2y³+y y*+y²+1' 4 +e-2y

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Q: 2. Evaluate the given integral. S1– x if æ > 1 | 2² – 1 if a <1 f(x) dx, where f(x)

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Q: 0 1 Q3:Evaluate the integrals [(x+y+1) dx dy -1-1

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Q: z'e? dz

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Q: 25 2 8 5 cos (x²) 4Vz Evaluate the integral -dx dy dz by changing the order of integration in an…

A: Consider the provided question, We have to find the integral ∫025∫02∫4y85cosx24zdxdydz by changing…

Q: (2) Compute the following integrals. *T/4 (a) ) sin (4r) cos (4xr) dar. (b) / cos(kx)e l dx, Hint:…

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Q: 1. Determine the following indefinite integrals: S (Ax-1 - Bx-3 + Vx") dx a) ez (wt) – cos(Ewt) )…

A: A=2.6, B=6.4, C=2.6, D=3.4, E=2.7 To find:-

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

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Q: 2. Evaluate the following Integral by using suitable method: 2y3 + y y4 + y2 + 1 dy -

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Q: /4 1.* Use the following property of the definite integral to estimate the definite integral:JCcos x…

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Q: 23. (a) (2n )! [P,(x)]² dx 2 (n!)ª J_, (1 – x*y" dx (b) By making an appropriate change of variable,…

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