Evaluate the definite integral. '1 3 + 7t³j+ Vik) dt /-1

Q: 1. Evaluate the integral using integration by parts 75/2 In x dx

A: The formula for integration by parts is Let, That implies,

Q: evaluate the integral using the methods covered in the text so far.

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Q: -s(-+)( + }) 1. dt

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Q: Evaluate the integral. .5 3 cosh(t) dt 0.

A: Solution

Q: 2. Use Cauchy's Integral formula, Evaluate the following sin42 IZ1= 3. (Z-4)3

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

Q: Evaluate the integrals using fundamental theorem. | (2 sint – 24) dt

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Q: Evaluate the definite integral. 4 dz V7z +8

A: Using definite integral

Q: I.Evaluate the ff. iterated integrals.

A: Given that: ∫36dyy3y2-9

Q: Calculate the exact value of each definite integral in Exer- cises 47-52 by using properties of…

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

Q: Evaluate the integral. 5 cosh(t) dt

A:

Q: compute the definite integral.

A: ∫1elnx dxx2

Q: Calculate the following integral by Simpson's method 3/8 with n= and verify the error obtained. In…

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Q: Evaluate the integral 169 S. 13 dx 3 x( In x)³

A: Given integral ∫13169dxx(lnx)3. The objective is to evaluate the integral.

Q: Solve the definite integral using usub

A: To integrate,

Q: 9. Find the integral, using u substituti x-(1-3x²)*dx a.

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: Evaluate the definite integral exactly, using the Fundamental Theorem. 6. 1 -dt 1 dt II

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Q: 52 7 -1 dx = V7x – 3

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Q: 5. Evaluate the indefinite integral. S cososin'oc (1) (3x - 2)20 dr (2) (3) S etanr sec?rdr

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Q: Use the results of Section 5.2 to compute the following definite integral: 3x² dx

A: We need to evaluate the following integral ∫-453x2dx Formula Used : ∫abxndx = 1n+1bn+1-1n+1an+1

Q: Evaluate the definite integrals. Requires a supporting analysis. S sva dx

A: Here f(x)=5xwe have to find the value of ∫095x dx∫09f(x) dx=∫095x dx=5∫09x dx=5∫09x12…

Q: Find the indefinite integral

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Q: (2t+1)(2t-1) dt

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: 1 point) Evaluate the definite integral. | * In(2t)dt

A: We will do integration by parts.

Q: 3. Evaluate the integrals √tanh x sech² xdx

A:

Q: Evaluate the indefinite integral: ∫(5t3 − t−3) dt

A: To find, ∫5t3-t-3dt

Q: fxVx+5 dx :

A:

Q: Evaluate the definite integral.

A: ∫15x2x-1 dx Consider, ∫x2x-1 dx Put, 2x-1=t⇒21-0=dtdx⇒2 dx=dt⇒dx=dt2 Therefore, ∫x2x-1 dx=∫t+12tdt2…

Q: Evaluate integral of dx/x+2 from -6 to -10 Choices: •In 2 •In 3 •21/3 •1/2

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Q: Evaluate the integrals ∫et cos (3et - 2) dt

A: We have to evaluate the integral: ∫et cos3et-2dt In this case we should use substitution method…

Q: Evaluate the definite integrals S(2sin(x)-3cos(x)dx

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Q: Evaluate the integral: f/2 sin(4t-u) du dt

A: To evaluate: ∫π2π∫0tsin(4t-u) du dt

Q: 2 Which of the following integrals is equal to (3x – 5) dx if u=3x – 7?

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Q: Q/ comput the integral following in more ways than one. dx JI+ tan(x)

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Q: de 2/2 V5 9 18

A: Solution: Here let I=∫dxx29-x2 Substitute: x=3sinu u=sin-1x3 and dx=3cosudu Thus,…

Q: Compute the given improper integral. Enter the exact value of the answer. 1 /x² 400 29 So - dx =

A:

Q: 4. Prove using the results concerning iterated integrals that In 5 dx = 4 sin? x

A: Given:-                 To prove the result concerning iterated integrals that…

Q: dt cos°(2 sin" 21)/1– 4r cos(2 sin2t

A:

Q: Evaluate the integrals ∫√(25 - t2) dt

A: We have to evaluate the integral: ∫25-t2 dt Rewriting the integral, ∫25-t2 dt=∫52-t2 dt We know the…

Q: dx Vre(16/:

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Q: 1. Use the table of integrals to integrate the followin a) S sin ) s in () dt

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Q: find the double integral Is 2. 3. yoa yatı

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Q: 3. 4 dx Зx/10In(3x) — (In(3x))2

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Q: In x dx

A: Given: ∫lnxx2dx Integrate the given integral using the integration by parts formula.

Q: Evaluate the integrals in ∫3 sec2 t/6 + 3tant dt

A: Given integral is, ∫3sec2t6+3tant dt

Q: Evaluate the following indefinite integrals. 1 4x + Vx + dx ,3 (a) -

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Calculate the following indefinite integrals. V-2

A: Given,          ∫x-2xdx

Q: 2 Which of the following integrals is equal to (3x – 5) dx if u =3x – 7?

A: Given∫123x-5dx

Q: Evaluate the integral. 0. LG + dt - -2

A: final answer is -5.619 detailed solution is given below

Q: dt t/ 12 1r² – 16

A: