dx 4-e4x S sin 0 V1 – cos 0 d0

Q: S 16x (8x? – 1)³ dx 6x2 dx x3+8

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Q: Evaluate the following integrals. Show the solution. 1. S csc? (7x + 5) dx 2. fx? sec (4x³ + 9) dx…

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Q: S 6x2 sin x3 dx

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Q: Evaluate the following integrals i. SxIn(x+1)dx sin (Inx)cos (Inx), 2 ii.

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Q: Evaluate the following integrals? .3 1)S x² e3* dx 2) S dx x²+25 dx 3) 6x – x2 4) | cos(In x) dx

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: The following integrals a and b are respectively, 2 and 13.6 by that, n = 5 by the trapezoidal…

A: Given: ∫abf(x)dx f(x)=1(1+sin x)2 a=2 b=13.6= 685 n=5

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: 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: xªe¬ª dx x=0

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Q: x2 + 2 dx x° + x •T/2 5. 3 6. t cos (t) dt

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Q: dx ·J Ja(cos²(vx)) 1. .2 | x5 ln x dx 2. 3. arctan x dx

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Q: Q10. Evaluate the following Integrals. b) /V+³ de sin (1/2) C) de

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Q: I = S(1+ sin x)³ cos x dx

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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: Consider the following integrals 9 sin? a 00 i. 2² + 7 •1 ii. e5t dt e5t – 1 Mark the correct one…

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Q: Consider the following integrals 00 4 sin? x i. dx x² + 6 e9t dt ii. e9t – 1 Mark the correct one…

A: Given: i.∫1∞4 sin2xx2+6dx ii.∫01e9t dte9t-1

Q: Approximate the following integrals using the Trapezoidal rule. c0.25 (cos x)? dx b. x In(x+ 1) dx…

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Q: Evaluate the following integrals TC 2x a) -e + sin dx V3x 0. 3. cot(-2x) csc?(-2x) dx b) 7.

A: (a) I=∫0π53x-e+sin-2x3dx =∫0π53x dx-e∫0πdx+∫0πsin-2x3 dx  ∵∫(u+v) dx=∫u dx+∫v dx…

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

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Q: Consider the following integrals • * 5 sin? æ i. - dæ x² + 6 e3t dt ii. . est – 1

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Q: 2. Evaluate the following integrals using a suitable trigonometric substitution. (a) / a9- 2 da (b)…

A: Solve both of integral in the following way:-

Q: Find the values of the following Integrals: ii) S sinx tan'ccord dx ü) Sex uci+ e* ) dze in) St…

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Q: b) s Evaluate each of the following integrals. a) dr. b) sin° 0 cos³ 0 d0.

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Q: Choose the correct answer to the following integral: 1 dx x In? (x) where 0 < a <b are positive real…

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Q: cos y dy 1+4 sin y 1 S cos-x dx

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Q: Q1/ Evaluate the following integrals: (a) / sin' cos를 dx. (b) S dx . (e) Sr² G- 1) dr .

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

Q: 4 3 dx | cos(x) .5 1

A: Let I=∫14cos x-3x5dx

Q: Approximate the following integrals using Gaussian quadrature with n = 3 and compare your answers to…

A: The Gaussian quadrature 3-point formula is  ∫abf(x)dx≈b-a259f(x1)+89f(x2)+59f(x3) Where,…

Q: Evaluate the following integrals using the substitution method. Answer numbers 1-2. Show your…

A: NOTE: You have posted multiple questions, we have solved the first question for you, if there is a…

Q: By using a trigonometric substitution x = 3sece ,where 0 s0 < 27 "he integral 3 Vx² - 9 dx can be…

A: We have to choose the correct answer from the given option according to the given condition

Q: Evaluate the following integral

A: Given  integral

Q: 1. Evaluate the following integral: Sx? sin x dx

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Q: Find the following integrals: sin x (i) [sin' x cos? x dx dx sin (x+ a) (ii)

A: In this question, we need to find the following integrals.

Q: 17. S* sin? 4 y cos² 2 y dy

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Q: Find approximate value of the following integral by using the Simpson method for n = 6. S° 10 sin…

A: I have rounded the final answer upto four decimal places.

Q: (d) Find the following indefinite integrals. xer (i) 1+e? xp. (ii) | cos (2r) sin (2r) dx

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Q: Evaluate the following integrals. Show complete solution and your answer must be in simplified form.…

A: To Find :   ∫11+cosxdx

Q: 3(cos x)²+2 -dx 2(cot x)°+4 cot x-5

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Q: Find and simplify the following integrals: S dx 11) (x-2)² 12) ſ cos(2x)e sin (2x) dx

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: 3n/2, #/? (sin 2x)dx

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Q: S÷t cos 4t2 dt 2 4r dr (1-r2)7

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Q: (b) Evaluate the following integrals. (i) 0² sin 20 d0.

A: As per guidelines of bartleby ...Expert will solve 1 question so you will upload 2nd question again…

Q: Evaluate the following integrals. Express the final answer in its simplest form and without negative…

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Q: solve the following integrals:- dx |1-x² (1) J (2) Sx sinždx (3fdr (++x^)x^

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Q: L sin-1 x dx

A: We need to calculate the integral: ∫01sin-1x dx This can be done as follows:

Q: (b) Find the following integrals: i. f(4x³+ sin x) dx. ii. ₁²(x²+)dx.

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Q: d) |r – 2| dx

A: Given query is to find the value of the integral.

Q: [9 cos (12 – 6t +1) dt 4

A: Solved below

Q: Q1/ Evaluate the following integrals: (a) S sin³ cos dx . (b) Ja dx . (e) S r² (- 1) dr .

A: We have to find the value of the integrals given.  Note- since you have posted multiple independent…