Which of the following integrals does not require substitution? o fxsin(1 – x²)dx dx 5x²/2 + x3 • cos(In(x)) 4x2 + 1 TT +3 S(xe2x* + 3)dx

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

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Q: Match the Integrals on the left side with the appropriate techni Prompts dx 3+5 cos x sec'x dx dx…

A: As per Bartleby guidelines we're supported to answer only first three subparts. Kindly repost rest.

Q: A. Evaluate the following integrals. 1. S(Vcos x + sin x)´dx 2. S cos³ 3x dx 3. S tan5 2x dx

A: To evaluate the following integrals.1 ∫cos x+sin x2 dx2 ∫cos33x dx3 ∫tan52x dx

Q: I. Evaluate the following integrals. Зx3—2х2-4х-3 dx x² (x²+x+1) 2.

A: Given: I=∫3x3-2x2-4x-3x2x2+x+1dx   As we know that; The Power rule: ∫xndx=xn+1n+1+C ; n≠-1 And…

Q: Evaluate the following integrals: a) cos (5x) dx b) 3x sin(2.x) dx - Sa x-7 c) dx (x+4)(x- 3)

A: Integrate in the following way:-

Q: Which of the following is an improper integral? In(x4+1) dx dx x2-x- 2 dx 2x+ 8 2 In3e COSX dx xe -2

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Q: |(x² + 2x) cos(2x) dx

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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: 1. Compute the following integrals. (a) dx. (b) 2° sin(x³) dx.

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Q: Determine the fool wing integrals: 1. e2*cos3xdx . 2. J.x² In(x+ 4) dx -

A: Use integration by parts

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: 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: 1. Compute the following integrals. 1 cos 3x dx b) VAr + 7 c) a) dx dx sin x / (In x)3 f) / d) ſ eª…

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Q: Evaluate the following integrals Li l2l e(1+x²) dx i.

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Q: Evaluate the integrals in ∫2ey cos ey dv

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Q: 7. Evaluate the following integrals using the multipi -3 xy dx dy (1i) ye* dx dy (i) y e* dx dy

A: To evaluate the given double integrals.

Q: Evaluate the following integrals: 2. Inx de sin 3x 3. dx 1-cos 3x 4. S 32* dx 5. S(e* + 1)°e*dx 6.…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: Determine the following integrals: I. In x dx II. | a? cos(2r) dx III. cos° x dx

A: As per our guidelines, I can answer maximum three subparts of a question. Since you have asked for…

Q: 3. Evaluate the integrals: S³r[cos(2x) – sin(3x)] dx С. 6 c1 dx d. Jo x2+1

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Q: Evaluate the integral. S-3x cos(2x) dx

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

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Q: 1 Evaluate the following integral. dx X4V9-x2

A: ∫vn dv = vn+1n+1+C

Q: 5. Evaluate the following integrals: sin x (1) f dx (ii) [Vsinx cos xdx (iii) -x' dx x* +3x? +2 V1+…

A: Dear student,                      According to our guidelines we are supposed to answer only first…

Q: 1. Evaluate the following integrals. sin x – 2x3 1+ 2x dx (b) 3+ x x3 + x dx (10 cos x + 5x4)5

A: to find the following integrals

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: A. Evaluate the following integrals. 1. S(Vcosx + sin x)*dx 2. S cos³ 3x dx 3. S tans 2x dx

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Q: Q1: evaluate the following integrals (choose 3) dx 1-f- dx V2x-x 13- 2x-x +[ (x* +x-2) cos 4xdx tan…

A: We are asked to evaluate the integral.

Q: Which of the following integration expression can be transformed into integral of power 2 dx (A)…

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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: Which of these is a non-elementary integral?" ( In(2y² + 1) -dy 4y A. * cosh(2x) xp. B. +…

A: (a) For, Is non elementary since y is in denominator. (b) For Is non elementary since x is in…

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: 1. Use integration by parts to find the integral below. In(x19)– 9x10+C a. b. x ·In(x1)– 10x10+ C c.…

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Q: Evaluate the integral. integral  cos 3x e x dx

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Q: 1. Compute the following integrals. (a) dx. (b) x³ sin(æ³) dx.

A: We have to integrate both

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: Evaluate the integral. In 5 2x 3 e X dx 0.

A: Basic integrals : →∫mneaxdx  = eaxamn Properties of Logarithm : →aln(x) = ln(x)a. →elnx=x.

Q: Which of the following is not an improper integral? cos x dx cos x dx 1 dx cos x 1 dx cos x 8.

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Q: Which one of the following is a PROPER INTEGRAL? OA. .5 2x dx. 3 7x2-3x O B. dx. x In Oc. | x2…

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Q: Evaluate the following integral. dx 1+ e2x - In 13 ex dx = 2x 1+ - In 13 (Type an exact answer.)

A: ..............(1) take ................put it back in equation 1

Q: Evaluate the integral: e³+ cosh2x33+ cosh2xsinh2x dx (3e)3+cosh2x A +C 2 + 2ln3 (3e)3+cosh2x 2ln3…

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Q: Evaluate the integral / 'cos(æ – In x) dx dy.

A: We need to change the order of double integral

Q: 1) Calculate the following integrals. b) √₁6x²=1 -dx

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Q: 2 Evaluate the improper integral 4x e dx, if exists. 8.

A: Given that,           ⇒           ∫-∞2e4x dx   ,   if exist             ⇒         find the…

Q: Evaluate the integrals: (d) ∫(lnx)2dx. (e) ∫tan−1(3x)dx. (f)∫cos4(3x)dx.

A: We can evaluate the first two integrals by using  the integration by parts method. To evaluate…

Q: 1. Evaluate the following integrals x² + 6x -dx (a) | x³ cot2(x4) cosec² (x*) dx, (b)|Tr3 – 10 – 5x²…

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Q: A Evaluate the following integrals. 1. fx² In x dx 2. S tan-ix dx

A: Let I=∫ x2lnxdxApply integration by part,I=ln(x)∫x2dx-∫ddx(ln(x)∫x2dxdxApply power rule…

Q: 1. Evaluate the following integrals. 3r5 (a) / dr V2 – x3 2" + e2" sin(2") sin(2=) dx 2x +3 (c) / dx…

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Q: Which of the following integrals are improper? (Select 3 L₁x²-1 dx 3x - 1 1 06²/21 x ² = 1 dx 2x 00…

A: Topic:-  improper integration

Q: Evaluate the following integrals.

A: ∫x1-9x2 dx Put, 1-9x2=t⇒0-92x=dtdx⇒-18x=dtdx⇒-18x dx=dt⇒x dx=-dt18