1. Se-5t t dt

Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) e40…

A: We have to find

Q: c) Evaluate the following Integration by parts for definite integrals. S xe-5* dx ii) . '2 Sin-'dx…

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Q: 1 dx using Simpson's 1/3rd rule by taking h=1/6. 1+x° Find the value of integral |

A:

Q: 5. If a and b are positive constants, evaluate the following integrals: ,-bx e-ax -e -dx; (a) (b)…

A: The objective is to evaluate: ; where a and b are positive constants.

Q: Express the integral in terms of the variable u, but do not evaluate it. So e15x-14 dx; u 15x - 14…

A: ∫01e15x-14dxLet u=15x-14.=∫-141eu115du=115·∫-141eudu=115eu-141=115e-1e14=e15-115e14

Q: 14 Find the integrals using integration by parts. a. fx(x + 4)°dx c. fr'e"dr

A: As per our guidelines I am solving only first three parts of the question please resubmit the other…

Q: e*dx 5.

A: topic - integration by parts

Q: Find the indefinite integral. [Hint: Use u = x² + 8 and un du = 1 un + 1 + C (n ± -1).] (Use C for…

A: Answer and explanation is given below

Q: 2. Find the following indefinite integrals. Use Substitution and/or Integration by Parts when needed…

A: a) Evaluate  ∫sinθcos4θdθ         ...(1) Simplification: Put cosθ=t⇒-sinθdθ=dt in (1)…

Q: Evaluate the integral.

A: Recall

Q: Evaluate the integral: ∫6/[(x+a)(x+b)]dx for the cases where a=ba=b and where a≠b.a≠b. Note: For…

A: The integral, ∫6x+ax+bdx.

Q: (x² + 2x) cos(2x) dx

A:

Q: I. Evaluate the following integrals. cln 2 #3. sec-(e")dx

A: integration using integration by parts method if it is helpful appreciate me.

Q: (c) Use integration by parts to evaluate the following integrals: √ 2 2 e 3x sin2x. dx

A: We have to evaluate the integral,   ∫012e3xsin2x dx  by using integration by parts.

Q: Q1 - Evaluate the following integrals i. Sxe-*dx

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Q: Express the integral in terms of the variable u, but do not evaluate it. dx; и — 5х — 4 NOTE: Enter…

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Q: a) Evaluate the following Integration by parts for definite integrals. i) So xe-s*dx ii) 12 Sin-'dx

A: The given integration is  I) ∫01xe-5xdx II) ∫032sin-1xdx

Q: Express the integral in terms of the variable u, but do not evaluate it. e14x-13 dx; и — 14х — 13…

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Q: Find the general indefinite integral. (Use C for the constant of integration.) / (u6 – 2u5 – u?. du

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Q: First make a substitution, and then use integration by parts to find the following definite…

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Q: Q.1- Evaluate the following integrals (answer two only) a- So √x e-√x dx 1

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Q: H-W: 1- Fraluate the following integrals a - St7 +12 dt

A: (a) Assume 7t2+12=u and find the total differential.

Q: Evaluate the integral. C x² e* dx NOTE: Enter the exact answer.

A: As per guidelines we have to solve one question Please repost the other questions again

Q: Evaluate the given integral using the substitution (or method) indicated. (Use C for the constant of…

A: The integral is  ∫ ex/8 dx

Q: 1 (h) | (4a2 +9)² dx (1) / 22 — а? dx

A:

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

A:

Q: Q4 Evaluate the following integrals cosh? (=) dx -In2 1 - fe 2 - cosh(lnx) dx

A:

Q: Use integration by parts to evaluate the integral.

A: Apply integration by parts,

Q: E Evaluate the integral by integrating the equivalent reversed order : 14 ex dydx 1 e

A: I hope that the given solution will help you . Thank you. Best regards.

Q: Use a table of integrals to find the indefinite integral ∫ 1/ t[1 + (ln t)2] dt

A: Rewrite the given integral as shown below: ∫1t1+lnt2dt=∫1t1+ln2tdt

Q: Q3 Evaluate the following integrals X. cosh? () dx -In2 1 - | 2 - cosh(lnx) dx

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Q: 21) Evaluate or find the following integrals 21.1) J? cot x dx

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Q: Find the indefinite integral. (Use C for the constant of integration.) 8 de cos(8) – 1 8 cot +C

A: The given integral,∫8cosθ-1dθ

Q: Express the integral in terms of the variable u, but do not evaluate it. Зау 15 — 2? dx; и — = 15 –…

A:

Q: Q1 - Evaluate the following integrals i. " xe-*dx

A: We are evaluating the following integral:

Q: Q2: Evaluate the integral by integrating the equivalent reversed order: 13 e* dydx 1 e

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Q: Evaluate the indefinite integral: S 5e5" sin(e5) dæ

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Q: Use Simpson's rule to find the value of the following integral -3x² dx -0.9 e 0.1 where n=4

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Q: - ydy (y + 1) - J y + 1

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Q: ch of the following integrals is equal to the integral / f(3x-5) dx? ) dr? 7/3 ) dz

A: Please refer to the image below

Q: 1+ x Evaluate the following integrals: (i) / ; 1+ x2 dar (ii) / sint sec"(cost)dt

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Q: - Find the value of each indefinite integral. You do not need to simplify your answers. (a) 1 dt t -…

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Q: Find the general indefinite integral. (Use C for the constant of integration. 8 6u4 – u2 + du 5. u5

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Q: Express the integral in terms of the variable u, but do not evaluate it. 3x-2 dx; u = 0, NOTE: Enter…

A:

Q: -c) S dx d) Sdx 4+x2 4+x2

A: To evaluate (c)∫dx4+x2(d)∫x4+x2dx

Q: 12. Determine the following integrals. Do not simplify. (a) / (5z* + V#) dz (b) dr dy = r1. dr 13.…

A: ∫5x3+x53.dx=∫5x3.dx+∫x53.dx=5.x3+13+1+x53+153+1+K,  (where K is an arbitrary constant)=5x44+38x83+K…

Q: Evaluate the following integrals.

A: We have to evaluate the integrals: ∫0π4sec x-cos x2 dx Applying the identity a-b2=a2-2ab+b2 in the…

Q: Evaluate the indefinite integrals, use the substitution when appropriate. a) S(e5- VE +) dt b) S cos…

A: a. Evaluate the given integral as shown below: ∫ t5-t+1tdt=∫ t5dt-∫tdt+∫1tdt…

Q: Use a change of variables to evaluate the following definite integral. 6 S- dp /64 + p² 6 p | (Type…

A:

Q: Perform the substitution u = 21 + 1 to evaluate the indefinite integral 14e+ dt. Use Cfor the…

A: To evaluate:∫ 14e2t+1dt