Evaluate the following integrals: (3" – e") dx A 3* In(3) – e + C 3*+1 ez+1 +C x +1 x +1 3* - e" + C In(3) © (3 – e)ª In(3 – e) +C

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 indefinite integral; f Vtan 3x sec2 3x dx OA)-(2(tan [3x)^(3/2) ] /9 + C OB) I DON'T…

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Q: Evaluate the integrals in ∫x2(x2) dx

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Q: Evaluate the integral. In(x + 7) dx -6 NOTE: Enter the exact answer in expanded form.

A: The given integral,∫-66ln(x+7) dx

Q: Evaluate the integrals ∫csch2 (5 - x) dx

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Q: Evaluate the integrals

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Q: evaluate integral of (6x^1/2 + 6x^2)dx from 4 to 9

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Q: Evaluate the integrals ∫cos3 x dx

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Q: Evaluate the integrals ∫ 1/x3/2 - √x dx

A: Given: integration

Q: Evaluate the integral. '3 8- In(x) dx x2

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Q: Find the integral for the following : 3- Sdx dx 1 1- : 2- S e-*sec² (ne¯*)dx 2Vx+2x 1+ex

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Q: evaluate the integral (In (X )Ć dx X3

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Q: Evaluate the improper integral, 5 if exists : dx (5 – x)3

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Q: 8 Evaluate the integral: In 3x dx A. In 3 + C C. +C (In 3x) 1 D. (In 3x) + C В. + C

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Q: Evaluate the integral. 了學 ( Inx dx O- In x - +C 2x 4x2 O-4 In x - + C 4x2 0.을 Inx- +C 2x2

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Q: Evaluate the integral. inegral  0 to 1 [(x 3 -4x -10 )/(x 2 -x-6 ) ]dx

A: Consider the following definite integral:…

Q: Evaluate the integral. In x3 dx 15)

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Q: Evaluate the integral. dx 4 - x3

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Q: 5 .Use the definition of the integral to evaluate | (2x - 3)dx

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Q: Ise the indicated entry in the Table of Integrals to evaluate the integral. 3V 4x2 - 3 dx; entry 39…

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Q: Evaluate the integrals ∫ x dx/9 - x2

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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

A: “Since you have posted multiple questions, we will solve first question for you. To get remaining…

Q: Evaluate the integrals using the substitution method of e8x dx

A: To evaluate the integral: ∫e8xdx Solution: Let substitute t=8x. Differentiating both sides, we get…

Q: Evaluate the integral∫ (4 /√(4 - x2)dx.

A: Let, I=∫44-x2dx Substitute x=2sint  gives dx=2cost dt…

Q: 4. f In (2x + 1) dx =

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Q: Evaluate the integral of 2x/(2x^2 + 4) dx if the upper limit is 6 and the lower limit is 3.

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Q: Evaluate the integral 4х + 5 dx. 3 - x2

A: To find the integral

Q: Evaluate the integral. ∫ In (2x + 1) dx

A: It is given that,∫ln2x+1 dx We have to evaluate it.

Q: Evaluate the integral. 5x In(x) dx:

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Q: Evaluate the integrals

A: ∫1e1x(1+7 ln x)-13dx

Q: Find the integral of So 7x+2x² (x-4)(2x+3X2x+1) dx

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Q: Evaluate the indefinite integral

A: Given:

Q: Use the indicated entry in the Table of Integrals to evaluate the integral. 3V 4x2 – 3 dx; entry 39

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

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Q: Evaluate the integrals ∫cos 3x cos 4x dx

A: Evaluate ∫ cos 3xcos 4xdx

Q: Evaluate the integral. (In(x))² x3 dx

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Q: 7)In(6) dx

A: The objective of the question is evaluate the indefinite integral.

Q: Evaluate the integrals in ∫(ln x)3/2x dx

A: Consider the given integral, ∫lnx32xdx use the substitution, t=lnxx=etdx=etdt so, the integral…

Q: Find the indefinite integral. S 8x In(3æ)dæ A. +C B. 8 ln(3x) +8x + C C. 8x ln(3x) –- 6x² + C D. 4r²…

A: To evaluate ∫8x ln(3x) dx...(1)

Q: In 3 | (1- x)e"dx X In 3

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Q: dx Vre(16/:

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Q: 3. 4 dx Зx/10In(3x) — (In(3x))2

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Q: Use the indicated entry in the Table of Integrals to evaluate the integral. 2 9V 4x2 – 3 dx; entry…

A: Solve, as follows: I=∫1294x2-3dx=18∫12x2-322dx

Q: HEvaluate the integral 3 In

A: Given

Q: dx x (In x)5

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Q: In 3 | (1– x)e"dx X — х In 3

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Q: Evaluate the integral. In(9 x – 8) dx -

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Q: dx /3-2x-x² 2

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