9. In evaluating the improper integral dx , which of the following is true? (1– 3x)2 3 (A lim 3x 1 lim 1-3x 12 B -9 lim 1-3x 9. (D lim 1-3x 12 m + 00 E N

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: In the integral of x cos 2x dx with limits form 0 to pi/2, what is the indefinite integral? Select…

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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. What should be A for the path independent of (2,4) xy + A 2dy – x y? fip- (1,2) Moreover evaluate…

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Q: 13. Consider the integral | dx then (which statement(s) is/are correct) x2 - 4x 1 (i) -dx…

A: Given: ∫1x2-4xdx

Q: 1 de is not an improper integral x +1

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

A: Consider the given integral

Q: 2.) Evalvate the Integral ودل أاد-ل (x² _33² dx, .3 2 by making w - x²-3 NOTE: Answer should be in…

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Q: 1. If f(x) dx = 3, evaluate [[1 + 21(x)] dx using the properties of interga 2. If f(x) dx = -2 and…

A: As asked we can answer question no 1 and 4 as below.

Q: 2. Identify which of the following integrals are improper: 1 1 dx 1 fin(x)dx 1 X +3 1 fe* dr -dp- 3

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

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Q: 1. What should be A for the path independent of (2,4) xy + A 2Лу — х dy y? -dx + (1,2) Moreover…

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Q: 2.) Evaluate the def inite integral dx o x²+4

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Q: Evaluate the iterated integral. 9. (8x – 2y) dy dx 1

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Q: 3. Evaluate the following improper integral; -2 2 dx x² – 1

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Q: Q5. Evaluate the improper integral dx x(Inx)7

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Q: 2. Evaluate the following integrals. a) [ex.sech (e2x + 1) dx b) [sech (2x-1) dx c) Vsinh 2x…

A: Integration by substitutions

Q: 4 1 : Evaluate the following improper integral by using proper limit notations: dx. (4 – x)2/3

A: As per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: 8. Depending on the real parameter p and q, what can you say about the result of the following im-…

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Q: 7. Which of these is a non-elementary integral? In(2y² + 1) А. -dy 4y e-x cosh(2x) В. c. [ e-x +…

A: Non-elementary integral for a given elementary function is an  indefinite integral that is, itself,…

Q: 1 2x dæ is an improper integral. 1

A: The definite integral is called a proper integral if the interval [a, b] is finite or bounded and…

Q: So S(x + 3) dy dx 3. Evaluate the double integral:

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Q: Evaluate the iterated integral. 7 8 (x² + y² + z²) dx dy dz -6 0 0 7 8 (x² + y² + z² )dx dy dz =

A: Given that: ∫-66∫07∫08(x2+y2+z2)dxdydz

Q: Consider , xe¬**dx. What will be the appropriate solution and answer to this improper integral? A.…

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Q: aluate the Cauchy principal value of the given improper integral. dx (x² + 1)²(x² + 9)

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

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Q: Consider the following propositions associated with the study of the +∞ dx J - 1.1² √6 +1 improper…

A: Given : ∫1+∞dxx  in which 1x6+1≥1x

Q: 2 Evaluate the improper integral e2a dx, if exists.

A: Evaluate the improper integral  ∫-∞2 e2x dx

Q: Evaluate the integral 3 2x cos(xy)dydx 2

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Q: 1 The improper integral -dx is given by: x² +8x+41 Select one: O a. None of these sec-'((b+4)/5) de…

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Q: 7. Find the indefinite integral. (a) + sec , | dx = 4 In |x| + tan(x) +C (b) / )Lanr dx = In |In x|…

A: Given that: (a)∫4x+sec2xdx(b)∫1xlnxdx(c)∫x4-3x2+5x4dx

Q: Evaluate the iterated integral. 3 4 5 /// + x² + z² ) dx dy dz -3 0 0 3 4 5 !! (x² + y² + z² )dx dy…

A: We have to find

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: Evaluate the integral.

A: We have to evaluate the integral: ∫x3xx2+3y2dy Here we have to integrate with respect to y so x2…

Q: Depending on the real parameter p and q, what can you say about the result of the following im-…

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

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Q: 1 uate the improper integral dx. x(In x)3

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

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Q: - Prove using integrals Proper tos : e even sin()fc) dx=0 -b 9- For even functions.

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Q: Evaluate the integral. 7 - x2 | x5y dy

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

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

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Q: 9. In evaluating the improper integral dx , which of the following is true? (1-3x)2

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Q: Set up the iterated double integral 9-9x SS dy dx of x 1. the limits . the limits of y

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Q: 9 In evaluating the improper integral , (1- 3x)2 dx ,which of the following is true? 3 A lim 3x B…

A: Given,

Q: 2 Evaluate the improper integral e4z dx, if exists. a) The nature of the integral is:

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

Q: Evaluate the integral. X √ ² ₁x + (x + 16y) dy

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Q: Evaluate the integral. 10 r FIL √16 22 1 (x² + y²) 1/2 dy dx dz =

A: To evaluate the integral ∫04∫-44∫-16-x216-x21(x2+y2)12dydxdz

Q: Evaluate the iterated integral. 2 4 (x2 – 2y2) dx dy 1 Jo

A: