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

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: * t/3 Evaluate the integral S'(y cos x – 3) dydx. S x -

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Q: Find the Particular Integral for the given differential equatiorn d²y dy +3- dx +6y =2x²+x+5 dx2…

A: using expansion,         (1+x)-1 =1-x+x2 -x3+...

Q: H.W: Evaluate the integral (x²y - 2xy) dydx 1. 30 0-2

A: As per your query the solution of the question no 1 is given in the next step.

Q: 10 Suppose that " fx) dx and Ax) dx = -5, and "g(x) dx = -1 and g(x) dx = 3. Compute the given…

A: Given,∫04f(x)dx=7∫02f(x)dx=-5∫04g(x)dx=-1∫02g(x)dx=3

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: The particular Integral for (D² + 19²)y = sin19z is Yp 38 O Yp 19 O None O Yp Zacon19z 38

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Q: 2. Compute the following. When evaluating the definite integral, change the limits of integration.…

A: (a).  The given integral is: ∫x21+x35dx

Q: Q4: Compute the following indefinite integral a) S(x³ + 4x² + 3)°(3x² + 8x) dx ( substitution) Inx…

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Q: Find the complete integral of the PDE z = px + qy – sin (pq)

A: Given partial differential equation z=px+qy−sinpq.....(1) We have to find the complete integral of…

Q: T 3. fz sin4 y cos7 y dy 2

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Q: 12. Evaluate the following integrals. a. S (9t+ 415) dt b. Se-4* dx **3** dx d. f(x-1- x + 4t3…

A: Note: Since you have posted multiple sub-parts we will solve only first three for you. If you want…

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: Q2/ Find the value of the following integrals: 1- |((x+y)dx + (y – x)dy), when cis given by, x = cos…

A: The integrals in the form ∫C(x+y)dx+(y-x)dy involve the integration over a particular curve C. In…

Q: 5. Find the integral in terms of w. dx Let x = w in the integral of 4dw 1+w wdw 1+w wdw) 4 1+w O 4 S…

A: In this question we have to find the integral in terms of w.

Q: -x), with respect to OY. 4. The area bounded by the curve 2x+2x -y -2 0 and the line y=2x with…

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Q: 4. Find the exact values of each of the integrals below. f(x) (a) / f(æ) dæ (d) / F(2) dzæ 2 (b)…

A: We can see this function as f(x) = -x-5-4≤x≤-3-2-3≤x≤-22x+2-2≤x≤020≤x≤1x+11≤x≤2-3x+92≤x≤3-2x+63≤x≤4

Q: 3. S (5y-4)dy y³+4y²

A: We know, ∫dx/x= ln|x|

Q: 4. S (y³+4)dy y(y+1)

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Q: 2. Set up and evaluate the integral for L»e-² + x) dA where D is the shaded region shown. (1, 2)…

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Q: S(e-3y V6 + e- 3y 2y3+y -)dy y4+y2+1 -

A:

Q: 2 4 Q3) Evaluate the integral || xe" dy dx 0 x?

A: LetI=∫02∫x24xey2dydxchange the orderI=∫04∫0yxey2dxdyLet∫0yxey2dx=x∫0yey2dx∫0yxey2dx=ey2[x22]0y…

Q: 1) Find the following integrals: a) S dx 3x+1

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: 2. Evaluate the following integrals a)S3z dx 314r b) S dt

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Q: 1 d.r. x² In(x) Consider the inmproper integral r10

A: The solution is in step 2

Q: 2. Approximate the following integrals using Gaussian quadrature with n = 1 and n = 2. 1 а) -dx x² –…

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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: If the definite integral of (1 + sin y)dy with lower limit equal to zero is π+2, its upper limit is…

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Q: 4. S dy y³-2y²

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

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Q: 1. Set up the following improper integrals by definition. sin(x) dx 22 — За — 4 а. xe dx с. 4 et b.…

A:

Q: 1: Evaluate the following integral, |(5x - y) dx + xy dy where C is given by x = 9t, y = \t, 0 < t <…

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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

A:

Q: Q.-Reduce the homogene ous Fredholm integral equatim afkc x, t) ult) dt where sin hx.sinh(t-1) sinh1…

A: Let us consider a homogeneous integral equation y(x)=λ∫abK(x,t) y(t) dt where, K(x,t)  is kernel…

Q: 1. What should be for the path independent of (2,4) 2Ay – x dp. y? xy + A dx + (1,2) Moreover…

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Q: 1. Evaluate the following iterated integrals: (a) S x²y dxdy (b) Lx sin y dydx.

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Q: 3 5. Evaluate the iterated integral: S x(x² + y)'/² dx dy.

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Q: 2. Set up an integral to find the exact length of the curve defined by 1 f(x) = 1 In r 2 - 4* where…

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Q: 4) Evaluate the following indefinite integrals. a. S (+ V3 - dx 4 3x2 b. S (2 sec2 x- 5 cscx cot…

A: Integrare

Q: 1. Evaluate the given integral Q. Q - CC² LL- (x - y) dx dy y²

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Q: Which of the following integrals represents the length of the curve y = 2", 0<x < 3? 3 А. 1+ 22x dx…

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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: 1. Use Numerical methods to approximate the following integrals (a) (x +y)dxdy , n = m = 3

A: Trapezoidal rule: ∫cd∫abf(x, y)dxdy=h2fa, y+2fa+h, y+fa+2h, y+⋯+fa+n-1h, y+fb, ydy, where h=b-an.…

Q: Evaluate the following Integral by using suitable method S(e-4YV1+ e-4y 2y3+y dy y4+y2+1/

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Q: Use Simpson's Double Integral with n = m = 4 to approximate the following double integrals 2.2 2x…

A: Consider the given integral: The objective is to solve the given integral with Simpson’s rule at…

Q: 3. Find following integrals using method of substitution: Sze z dz a. 2 x2 b. S /1+x

A: Consider the provided integral, ∫ze-z22dz Find the expression for this integral using substitution.…

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: Q5: Compute by part the following indefinite integral Sx. In x dx

A: Given  that a integration and we solve it by part. We know that integration of Xn  is -  = Xn+1/n+1.…