Evaluate the following integrals 2x2 + 1 dz J (x – 1)²(r + 2)

Q: 3 4 dx x2 + 9

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Q: Q1 - Evaluate the following integral: J (2x2-3x+2) dx (x-1)2 (x-2)

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Q: Evaluate the improper integral 2x dx, if it exists. (x² + 81)2

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Q: ) Evaluate the following integrals. 16x x4+3x2+1 3 + 24x dx (a) 0,

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Q: Evaluate the following integrals: x +1 1- dx (x2 + 2x + 2)3 f*'sinzdz x² sin x -2x + 4 3- dx J (x? +…

A: Since you have asked multiple questions, we will solve first three questions for you. If you want…

Q: 3.Evaluate the following integrals by any method of your choice S(1+) ) dt a. 6x2 b. (4х3 - 9)3

A: We have to find integral

Q: ) Evaluate the integrals of the following; i) ,( + cos x)dr 1+cos 2t dt ii) 2 iii) [(3x +2)(3x?…

A: Given that:                           NOTE: As per our answering guidelines, we can only answer 1…

Q: Evaluate the following integrals: x2 - x Vcot2x dx 2. 1. -dx J sin²2x x - 1 (cos*2y – sin*2y) dy 3.…

A: Since you have Posted multiple subparts questions , as per our guidelines we will solve the first…

Q: Evaluate the given integral with suitable substitution : 5z 10r (20 + 20) dr

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

Q: ... Evaluate the given definite integral using appropriate substitution: 2xdx = O V2 ... (A) 3 3 B…

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Q: Determine the following integrals: ³ In r dx and

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Q: 23/ Choose the correct answer to evaluate the following integral dx 1 - Jo (1 – x+)ż

A: By using Bita gama function

Q: Evaluate the 2 improper integrals attached with this question.

A: Given integrals are

Q: Evaluate the integral.

A: Given integral: ∫121241-x2dx

Q: Q1) Evaluate the following integral using By Parts Method: х.In(x3 + x) dx

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Q: Evaluate the following integrals. a. dx Vx -1

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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: Determine the following integral using the indicated substitution.

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Q: B) Evaluate the following integrals: 1- dx 1-22

A: Let's find.

Q: Q3 - Evaluate the following integrals dx i. J Jg-x- x5 jdx (x²–1)ž V9-x:

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Q: Evaluate the following integrals.

A: To integrate: ∫0π2e-3xcosxdx Use integration by parts:      ∫u dv = u v - ∫v du Let   u =cos(x)…

Q: Use Romberg integration to compute R3.3 for the following integral x sin x dx

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Q: ~2 .4 x* +1 dx 1 J1

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Q: 1 dx 2. 0 (2x+1)Vx²+x

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Q: evaluate the integral.

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Q: 3. Evaluate the following integrals: -ds +3 a. 2x b. S

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Q: Determine the indefinite integral. S()dx O x+c O 2/x +c O 3 3/x³ + c 2x² + c

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Q: A. Evaluate the following integrals. 1s (*2* -) x, 2х — 3' dx + 1. S x+2

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Q: 2. Evaluate the following integrals. (a) J sin° (2) dæ 3x2 + 2x + 7 (b) dx x² + 1

A: We have to solve the given integral.

Q: Choose the most appropriate answer: Evaluate the integral : J 3x2 dx x3+20 O In(x³ + 20) + C T 40) -…

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Q: Evaluate the following integrals 2x2 + 1 dr J (x – 1)²(r + 2)

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Q: Evaluate the following integrals: x +1 1- dx (x² + 2x + 2)3

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Q: Q1)Evaluate the following integral: 2 1-x dx 1+x2,

A: 1 We have to evaluate the integral ∫021−x1+x22dx. Now,…

Q: Evaluate the integral using an appropriate method. J = 3 22+5+6 dx

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Q: a) Evaluate the following integrals ce3xdx 2) | x² sin x dx 2) x2 sin x dx x

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Q: I. Evaluate the following integrals. 1 d.x J #(9 – In² x)5/2* 1. -

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Q: Evaluate the integral. integral from 0 to 1 (x2 + 7)e−x dx

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Q: Evaluate the following integrals.

A: ∫x91-x20dx=∫x91-x102dx Now put, x10=t⇒10x9=dtdx⇒x9 dx=dt10

Q: x² In x dx 2. 0.

A: we have to evaluate the following improper integral.  For this we can use integration by parts

Q: 3. Evaluate the following integrals. (a) / х — 1 x2 + x (b) / 2х — 3 dx x³ + x

A: We have to find the integral

Q: Q1 - Evaluate the following integral: J (2x-3x+2) dx (x-1)2 (x-2)

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Q: Evaluate the integral. Sa x² + 9x – 1 dx J (x – 4)(x² + 1)'

A: Given that a integration and we solve this integration by using general formulas of integration. We…

Q: Evaluate the integral. (Use C for the constant of integration.) R - 9x In(x) dx x² – 25

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Q: 1 4 dx 2 /1 – x²

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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: In the indefinite integral J 3x²e* dx, the integrand is A 3r © 3x2 D x³+C B.

A: The given integral,    ∫3x2ex3dx

Q: Q3. Evaluate the following Integrals Stan* 0 sece de I. 2-16 хр- Vx II.

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