Given that L 1125 · x² · In(*) dx = 1+ 2e³ 8 select which of the following values are correct for L. O 2· e³ 2-e 2.e

Q: Prove the formula.

A:

Q: (+e*)dx e* -In () 3.

A: Given that: ∫(x-1+ex)dxex-ln1xdx

Q: S²³² The numerical value of -3√9-2 dx will be equal to

A: Given that ∫-33x9-x2dxSolution:odd even property if f is odd f-x=- fx  then ∫-aafxdx=0

Q: |In². |In? x – 4 ln x – 5| dx. Evaluate - e-3

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Q: Find n so that 27 en+1 – 1 < 0.05? 2 (n + 1)(n + 1)! Use the information above to calculate eet dx…

A: For (b), We need to find n so that 272en+1-1n+1 (n+1)!&lt;0.05. Notice that solving this…

Q: Determine the following: L  e-x  dx

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Q: 2. S 22+3x dx = 4 ( +c In 8.

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Q: For what value of kik>0, does (4kx-5k) dx =9k Select one: O 4 O 6 O 5 O 1 O 3 O 8

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Q: 3 Given that 3. e dx = e° - e, use this result to evaluate 3ex + 4 dx.

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Q: sinh x - cosh? x is equal to O e- -1

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Q: Evaluate dx by using Simpson's 1/3, taking n= 4, correct to four decimal places log,(e)

A: Consider the integral  ∫45.21log5exdx

Q: Evaluate the integrals in Exercises

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

Q: Given frx) = s %3D and grx) -x? -) What is frg(x))?

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Q: If we approximate e-**dx using Simpson's rule, we get the answer approximately equal Select one: a.…

A: Given: To explain the correct option of the given statement as follows,

Q: 3 ex dx,n = 10 х, п 1

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Q: 13 – 4 In? x dx 2x In x + 5x Evaluate

A: The given integral is ∫13-4ln2x2xln x+5xdx.

Q: calculate MN and TN for the value of N indicated.

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Q: ? dx = In|x| – e* + C ? S 2²+3xdx = 4 In 8 + C

A:

Q: Evaluate the following: 1. [ sinh(4)dæ

A: Application of integration

Q: 4 .Find the value of e dx, taking 6 subintervals by Simpson's rule.

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Q: Evaluate. (In x)?dx

A: Given: ∫(lnx)2dx

Q: Cn8 Can y e+ydædyis equal to 8ln 8 - 16 — бе" 8 In 8 – 16 – 7e10 8 In 8 – 16 – 8e10 8 In 8 – 15 –…

A: I am attaching image so that you understand each and every step.

Q: Q3/ Evaluate the followings: 3) L, 4-* In 2 dx

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Q: 2. Find S x?e* dx.

A: topic - integration

Q: 2 b) If it exists, then the value of e4* dx = is:

A: To find: The value of the integral ∫-∞2 e4xdx. Concept used: The exponential function approaches as…

Q: SI S X+4 dx x2-16

A:

Q: Determine the following indefinite 12 dx X 12 dx = X

A: The given integration is ∫1-x12xdx.

Q: Determine how large the number a has to be so that 08. 1 dx

A: Solution is given below

Q: 6. y = In (e' + e")

A:

Q: If e" = a find the value of cosh(x) for a = 7.515 to 3 decimal places.

A: we will use the formula for cosh(x) cosh(x)=ex+e-x2

Q: What is the value of 7x (-a* + 1)* dx? Enter your answer as an exact fraction if necessary.

A: Given:    ∫017x3-x4+14dx

Q: calculate MN and TN for the value of N indicated.

A:

Q: find dz e 1-e |

A: To find the given Integral.

Q: calculate MN and TN for the value of N indicated.

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Q: (e) S, In|x| dx.

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Q: x² dx 4

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Q: Find the following t-values in Table 4 of Appendix I or using SALT. (Round your answers to three…

A: As per company guidelines I solved first three subparts of this question .

Q: -In 2 e*dx 3. 2ex –1

A:

Q: et dx 5-e

A: Given integral is

Q: Calculate the value of t of the following given. (Round off your answer in two decimal places)

A: No.1 µ=48s=17n=25x¯=65Formula:t=x¯-µsnSolution:t=65-481725t=5.00

Q: How's f', and g'(x) used in composites d/dx for deriving

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Q: {(s+1) m} 1-7 ' {In (1+)} where e is a constant.

A: The solution is given as

Q: Evaluate o tanh x dx. 0.25 0.4338 3.086 7.388

A: The integration of hyperbolic tangent function is: Since the integration has limits provided;…

Q: If f(x) = e, then which of the following is f(7)? Select one: O a.7 Ob. In (7) O c Inte) O d. log…

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Q: Evaluate. (Be sure to check by differentiating!) et dx 30. 4 + e*

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Q: Evaluate (x? + 1) In x dx.

A: The integration of the integral is (x2+1)ln(x).

Q: 9. For what value of k, k> 0, does (4kx-5k) dx = k² O 1 O 2 3 O 4

A: On solving this we will get

Q: Evaluate. (Be sure to check by differentiating!) S(x3 + 5)° x² dx

A: ∫(x3+5)9x2dx Formula ∫xndx=xn+1n+1+C

Q: Calculate the following? 1 d. e. None of these a. 25

A: