2. Find the following indefinite integrals. Use Substitution and/or Integration by Parts when needed a) ſ sin 0 cos4@de b) ſ tvt + 4 dt

Q: Evaluate the following integrals using the required method of integration. Show complete, clear, and…

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Q: sec 0 tan 0 cos(sec 0) d0

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Q: Use the Table of Integrals to evaluate the integral. T4 - 9 sin e sin 20 de 4 – 9 sin 0 |

A: We use substitution to integrate the given function.

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: 2, .cos' xdx 12. 2

A: Given: Let I=∫-π2π2 cos3x dx To Find: To evaluate the given trigonometric integral.

Q: Bx x+2 e t e de

A: Given ∫e3x+e-x2ex+2dx

Q: 4. Determine the following integrals 4.3 (a? + x*)cos(2x) dx

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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: 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: Evaluate the following indefinite integral. Use C for constant of integration. * cos(10x) + sin(20x)…

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Q: a) Evaluate the following integrals by Parts 6) (lnx)² dx In x [√x 8) | Ir 8) In(x² + 4)dx 9) […

A: As per Bartleby's answering policy, we can answer only one question with a maximum of three…

Q: In the given equation as follows , use a table of integrals to evaluate the definite integral :- See…

A: Evaluate: ∫0π/213-2 cos θdθ. Apply: cos 2x=1-2sin2 x. ∫0π/213-2 1-2sin2 θ/2dθ=∫0π/21sin2…

Q: b) [ cos 20 do 5+4cos 0 BAŞARILAR

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Q: 7 of 25 skip Which of the following integrals is not a geo for integration by substitution? Aidate a…

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Q: Evaluate the following indefinite integrals using integration by trigonometric substitution.…

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Q: 10) 3 (sin y-cos y)*dy COS COS Y

A: A detailed solution is given below

Q: Find a bound for the error in the approximation M20 to the given integral (but do not calculate…

A: The given integral is ∫0π35cos(x)dx. To find the bound in error use the midpoint  rule which is…

Q: Evaluate the following integrals (from A to E) A. Integration by parts cos dz i) (3t + t?) sin(2t)…

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Q: e2¤ (e-ª + e*)dx

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Q: Suppose a strange particle travels with a velocity (m/sec) of v(t) = , where t is the time it has…

A: velocity v(t)=1t+1 find the travel between t=1 and t=2

Q: 4. S)(1-x²)dx 5. S(e2t)dt

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Q: Evaluate the following integrals S, 5v – 3) (e-y*2 sinhy) dy а. b. 8(x + 1) In(sinx2*) cosx dx

A: We have to define the given Delta function and find the points in which it is non zero in the given…

Q: Determine the following indefinite integral. 1 dy 14y

A: To evaluate:   ∫114ydy Property of integration used, 1. ∫cfxdx=c∫fxdx                           …12.…

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

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Q: 4. Calculate the following integrals by using the integration methods. (4x* + 8x3 + 15x)dx (a) dx…

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Q: Compute the indefinite integral of the following function. r(t) = (13 cost,7 cos 5t,3 sin 6t)

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Q: 4. Solve the following integrals using the substitution method. (a) sin x cos* x dx (b) Jesin z cos…

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Q: -aluate the following integral cln 2 cosh x UTM =dx. sinh? x + 4 sinh x + 2

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Q: 4. Calculate the following iterated integrals by hand. Show all steps. (a) (b) (c) -dr dy

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Q: 2. Find the following indefinite integrals. 1 (a) dx J x/16 – [In(x)]?

A: We have to solve

Q: Consider the following integrals: dt i). S" Şi + sint' ii). S° a4 cost dt where a > 2, iii). Int…

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Q: Evaluate the following integrals: i. Se- cos(20)de ii. dx Va+100

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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 indefinite integrals using the substitution method b) ƒ Sin (:) (1 – cos…

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

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Q: Consider the following integral: siny dydx y By reversing the order of integration, the value ofI is…

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Q: Find the following indefinite integrals. dx = (m) / (~- (bị + 3e" + dt =

A: (a) I1 =∫x3-1xdx (b) I2=∫eπ+3e2t+1etdt We know that  ∫xndx=xn+1n+1+c and ∫enxdx=enxn+c

Q: Evaluate the following integral cln 2 cosh x O UTM dx. V sinh? x + 4 sinh x + 2

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Q: Consider the following integral: I = | J- sinx dxdy By reversing the order of integration, the value…

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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: 03 cos(02) dO /2

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Q: Find approximate value of the following integral by using the trapezoidal rul 10 " 10 sin(20x²)dx…

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Q: 3. Evaluate the following definite integrals using a change of variables. а. sin(2x) dx b. xVx+1 dx…

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Q: 1 1 x=6 x - 2 dx +oo

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Q: 2. Use the substitution method to determine the following indefinite integrals: (a) / cos(2r) dæ (b)…

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Q: Evaluate the following integrals using the required method of integration. • Show complete, clear,…

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Q: Use the special or Bessel function to solve TWO from the following integrals In x 1. [ dx x* +1 2.…

A: It is given that

Q: Consider the following integral: sinx dxdy By reversing the order of integration, the value ofI is…

A: In the question, the limit of x is a function of y. We will change this order and put y within a…

Q: [5]. Calculate the exact values of the following definite integrals. Srsin(2.x) dr (a) o dx x² - 4…

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Q: [9 cos (12 – 6t +1) dt 4

A: Solved below