Which one of the following double integrals is equivalent to the integral 2x-x2 Vx2 + y2 dy dx? 0. 0.

Q: Consider the functions given.evaluate the integrals

A: First we try to write the given function using the mentioned functions.

Q: Compute the integral below using integration by parts. So³ (12x + 4) cos 2ædx

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Q: where d! x*ry*< a² 2.

A: Change in polor coordinate.

Q: Use the value of the first integral I to evaluate the two given integrals. 3 9 4 3 (8х-2x3) dx b. J…

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Q: Evaluate the iterated integrals: 4 2 S[x* +xy}dydx 0 1

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Q: Which of the following integrals will yield In u+ C? A. SE B. S- x+1 D. S dx xdx C. S 2rdx = x+1 O…

A: From the following integrals will yield ln u+C Note:     Multiple questions are given, we are answer…

Q: I.Evaluate the ff. iterated integrals. • rel /2 ptan y sec y 1. x'cos' ydxdy

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Q: Get the integral of ſe*sin x dx using integration by parts c. e*(sinx – cos x) + c D. -e*(sinx – cos…

A: The integration of the integral is exsinx.

Q: Which one of the following integrals is most easily evaluated by the substitution u = 4 – x?? (a) /…

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Q: 1. Find a particular integral for d²y dy dr +4- + 3y = r? dr2

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Q: a In x dx for the integral to be equal to 2 What should a be in O e? 0. 1 o 1 Ое

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Q: Evaluate the double integral. 8ху? dA, D is enclosed by x = 0 and x = 4 – y2

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Q: Which of the following definite integrals gives the length of the arc y - 1 + 16x-dy 0 16y – 15 이 0…

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Q: Use the substitution technique to determine the following integrals:

A: Important integrals for the question: ∫sec2 x dx = tan x + c ∫un du = un+1/(n+1) + c Other important…

Q: Use the value of the first integral I to evaluate the two given integrals. 3 | - 27 (x3 - 6x) dx =…

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Q: Estimate the value of the integral 4- x²y2 dA, S = {(x,y)| x² + y? 0} |

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Q: Which of the following is incorrect about the properties of an integral? rx)dx = - L, f(x)dx Si…

A: As we know that from property of definite integration.

Q: Which of the following integrals are improper? (Select all that apply.) 1 dx 6x dx 2x - 1 sin(x) dx…

A: We have to find out the improper integral from the given options

Q: Which of the following integrals are improper? Why?  integral -1 to 1    ( 1/ x 2 -x -2 ) dx

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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: Which of the following is an improper integral? -dr -4 x² – x – 2 In(x++ 1) dr dx 2 2x + 8 In3e COSK…

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Q: Which of the following is not an improper integral? 1 dx cos x 1 dx cos x 2 cos x dr cos x dx

A: Explanation of the answer is as follows

Q: The particular integral of (D2 + 1)y = cosx is -zcosz 2 -zsinz 2 ICOSI zsinz 2 O None of the choices

A: Find particular integral (P .I)

Q: Which of the following integrals is equal to the integral / f(3x – 5) dx? 713 f(2) dz 7/3 f(2) dz -2…

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Q: Which of the following improper integrals diverge? 00 dx x2 0- 1 dæ x2 + 1 dx 2 O 2* da 2.

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Q: Which of the following integrals are improper? (Select all that apply.) 1 dr 3r – 1 1 dr 2.r – 1 sin…

A: To decide which of the given integrals are improper.

Q: Which of the following is NOT an improper integral? 0 2x of ₁7² +²22-3²² dx + 2x - 3 2x x2 2 - 3x e…

A: which of the following is not an improper integral??

Q: ∙1 Ꮭ ᏝᎽ 1-x-y z dz dy dx

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Q: Which of the following integration expression can be transformed into integral of power (Ju"du). 2…

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Q: of the following is an improper integral? • In3e COsx dx xe | in(x*+1) dx n(x++1)dr -4 x2-x- 2

A: Improper integrals are characterised as

Q: Which of the following is an improper integral? -4 x² – x – 2 In3e COSX dx xe -2 In(x++ 1) dx -1 dx…

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Q: Which of the following integrals is equal to the integral /f(3x – 5) dx? -2 7/3 / (:) dz -2 7/3 5.…

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Q: Which of the following integrals is equal to the integral / f(3x– 5) dr? f(2) dz 3 B dz 7/3 © "(e)…

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Q: Which of the following is not an improper integral? 1 dx cos x 2 cos x dx | cos x dx 0. 1 dx cos x 2…

A: Given, The definite integrals We have to find the integral which is not improper.

Q: Which of the following is an improper integral? dx 2x + 8 2. 0- -4 x² – x – 2 In3e COSX dx хе -2…

A: We find which of the given integral is an improper integral.

Q: 4 -dx xln?x 00

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Q: Evaluate the Cauchy principal value of the given improper integral. 1 [ (x² + 4)² dx

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Q: The improper integral J 1 r2-4x-5 dx is given by:

A: In this question, we reduced the integral into trigonometric form by using suitable transformation.

Q: Which among the following is an improper integral? 1 A x[In?(3x) – 4] Inx x[In*x- 1] ` .0.5 1 dx…

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Q: Which of the following is an improper integral? dx ** 2х + 3 ... dx x² – 2x + 1 In(x² + 1) dx -2

A: Which of the following is an improper integral?

Q: 2. Approximate the following integrals using Gaussian quadrature with n = 1 and n = 2. 1 1 2 -dx 4…

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

Q: Which of the following integrals is equal to the integral / f(3x – 5) dx? 7/3 zP (?)f s(2) dz 2. 7/3…

A: Topic = Integration

Q: accordingly, if the order of the integral given above is changed to dyd dx, what will the integral…

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Q: Find the double integral ff (x² + y² do, over R={(x, y):-1≤ x ≤ 1,0 ≤ y ≤ 2}. 1.

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

Q: Which of the following integrals represent the area enclosed by the smaller loop of r = 1 +2 sin 0?

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Q: Which of the following integrals is equal to the integral / s(3x-5) dr? A f(2) dz 7/3 B | s(2) dz 2…

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Q: 7/2 VI- cos z dy dx dz

A: The detailed solution is as follows:

Q: The given integral is Te-x³(-3x²)dx. Let -x. Now differentiate u with respect to x. That gives U =…

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Q: Which of the following is an improper integral? A dx -4 x2 – x - 2 In(x++1) dx -1 © dx 2x+ 8 2 In3e…

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Q: Evaluate the integral of ax^2 e^bx dx assume a and b are constants.

A: Please see the explanation below