Evaluate the following integral. Se | 6x sin x cos x dx Use integration by parts to rewrite the integral. | (3 sin2; 6x sin x cos x dx = 3x sin 2x - | X. d: Evaluate the integral. | 6x sin x cos x dx =

Q: O:: Find the integration for the following functions: - (answer three only) In(x²+x)-Inx-elnx dx…

A: SOME RESULTS(FORMULAS): dlnxdx=1x dxndx=nxn-1 d(sin ax)dx=a cosx d(cos ax)dx=-a sinx ∫sinaxdx=-cos…

Q: Evaluate the given integrals. 1. cos 2x dx

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: Evaluate the integral. Зп /4 6 sin (x) cos (x) dx Jn/2

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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: (a) / | Va? – x² dx (b) / Vi- (1 – x² dx

A: To Determine: Convert the above indefinite integrals into definite integrals using the intervals…

Q: Find the following indefinite integrals. (i) (ii) | cos (2x) sin (2xr) dx

A: According to question  given :(i) ∫xex21+ex2dx(ii) ∫cos3(2x) sin2(2x) dx

Q: Evaluate the following integral using integration by parts. x sin 2x dx Sxsin 2x dx =O Evaluate the…

A: Answer and explanation is given below..

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 integral n/2 sin x cos x dx

A: This integral can be solved by the general formula of integration.   Integral ( 0 to Pi/2) sin^mx *…

Q: Evaluate the following integral using integration by parts. 4x sin 4x sin x cos x dx Let u=4x sin x.…

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Q: Solve the following integral using the integration by parts method. (i) |x² sin mx dx (ii) e* cos 3x…

A: We can find the integration using by parts method

Q: 1 S. dx 3 (2x 012

A: Consider I=∫1( e2x-9)32 dx

Q: Evaluate the following integrals: 1.5 cos'x dx sin³x sec*x dx tan³x 2. 3. sin?x cos?x dx 4. cos (3x)…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: evaluate the integral in the form a sin(u(x)) + C for an appropriate choice of u(x) and constant a.

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Q: Evaluate the following indefinite integrals a) ∫(cosx/sin2x) dx b) ∫e2x-1 dx

A: Part a,          ∫cosxsin2xdx

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: Evaluate the following Integrals 1 I. dx 1-cos x

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: Compute the following integrals: sin x dx -T/2 :/3 |(cos x)(sin? x) dx -n/3

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Q: Use the integration by parts to evaluate the following integral by assuming u = COS 2 dx (cos a + a…

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Q: Write the integral as a sum of integrals without absolute values and evaluate: Leis | cos x | dx =…

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Q: Evaluate the following integrals. Show the solution. 1. fcsc² (7x + 5) dx 2. x² sec (4x³ +9) dx dx…

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Q: sin (x) cos/2 (x)dæ sin (x)dx

A: To find the integration

Q: Q1: Evaluate the following integrals by using a substitution to reduce it to sec X dx 1 standard…

A: We have to use substitution method.

Q: Which of the following is one of the correct/convenient steps to evaluate cot-4dx which will yield…

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Q: 2 x cOs x dx.

A:

Q: I. Evaluate the following integrals. 4. cos*ed@ 1-sin® 5. S tan (; – x) dx

A: ∫cos3θ dθ1-sin θ Let I=∫cos3θ dθ1-sin θ        =∫(cos θ. cos2θ) dθ(1-sin θ)       =∫(cos θ)(1-sin2θ)…

Q: a) Evaluate the following integrals 1) xe3*dx 2) | x2 sin x dx 3) | x sin 2x dx

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Q: Evaluate the following integrals: dx dx dx ii) S 2 sinx+8 cos x a sinx+b cosx 1+tan x

A: (i)

Q: Integrate the following integrals using either integration by parts or integration by substitution.…

A: The given integral is ∫xsin1+x32dx. Take u=x.  Then, du=12xdx⇒du=12udx⇒dx=2udu Note that,…

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: 2. Evaluate the integral: (a) ſe -3x sin 5x dx

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…

Q: Given that x dx = b² – a² , use this result and the fact that cos(x) dx = 1, together with the…

A:

Q: Find the following integrals by using substitution rule, integration by part or trigonometric…

A: by using integration of substitution rule

Q: Which of the following is one of the correct/convenient steps to evaluate -4dx which will yield the…

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Q: (b) Solve the following integral by using the Integration by Parts. e* cos 2x dx

A:

Q: Evaluate the following integral

A: Given  integral

Q: Evaluate the following integrals using proper substitution: S sin? x cos3 x dx Hint: rewrite the…

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Q: Evaluate the following integrals: 1. S (cos x – sin x) dx 2. ſ cot²x dx 3. S (sin x + x) dx

A: As per Bartleby answering guidelines if a questions has multiple subparts then an expert is expected…

Q: tan 2x dx 2. S (3+ln cos 2x)6

A:

Q: dx (6-x²)3/2 S"_ tan (x)dx

A: On solving these integration we will get

Q: 7. Use the Method of Substitution for Integrals to evaluate the following integrals: A. x? cos x3 dx

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: Find the general indefinite integral or evaluate the definite integral, as necessary. a) S sin nt…

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Q: Solve the following integral by using the Tabular Method. (a) x² cos 4x dx (b) sin 3x cos 4x dx 2.

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Q: Evaluate the following integral using integration by parts. 19x sin x cOS x dx Use the integration…

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Q: Which of the following is one of the correctIconvenient steps to evaluate| cot-4dx_which will yield…

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Q: Compute the following integrals. Se" (x + sin(e²))dx 2x²+1 2x2+x ( sin xdx

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Q: Evaluate the integrals 5./ (를 -5cos x) dx 2 1 1 6. sin? cos? x x

A:

Q: Evaluate the integral cos (x) sin(x) dx 13 using the substitution u = cos(x). cos(x) sin(x) d.x ,13…

A: I am going to solve the given problem by using some simple calculus to get the required result.