| (e" – 2)2 dx

Q: The value of the following integral is log. dx e-1 O 3/2 O 5 O 5/2 3

A: We have to evaluate the integral ∫e−1e2logexxdx. Substitute logex=u ⇒1xdx=du And limit of u is u=-1…

Q: Find the indefinite integral of the following function. STrcos(5 m)dt

A: We have to find the integral of the given expression. We know that integral of cosx is sinx.

Q: (b) / e*+e* dx.

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Q: valuate the following integral 2d.x (3(ln x)2 + 12 In x – 15)

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Q: 3sec? x dx tan x(2+3 tan x)

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Q: 2) Evaluate the following integral: In 2 log2 (x + 2) dx x + 2

A: the given integration is  ∫log2(x+2)ln2x+2dx

Q: In x dx a/1+(ln æ)? (In x 2

A: We have to evaluate the given integration

Q: The value of the following integral is |log,r| dx O 5/2 O 3 O 3/2 O 5

A: Here option c)  3/2 is correct. Here we solve this integration using substitution method.

Q: dx 50. (х — 1)43

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Q: Ja* dx

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Q: Evaluate the definite integral on the interval [e, e^64] dx / x sqrt{ln(x)

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Q: Evaluate the following integral. 10 0 4 log 11 (x + 1) X+1 -dx

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Q: Evaluate the following integral. 12 S 0 4 log 13 (x + X + 1 1) -dx

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Q: Evaluate the following integral. 10 2 log 11(x+ 1) -dx dp- x+1

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Q: Evaluate the following definite integrals log(1+ cosx) dx.

A: Introduction::

Q: Evaluate and simplify the following integral: e* + e²x -dx 1+e2x

A: Solution: The objective is to find the value of the given integral

Q: S dx х+2

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Q: Find the integral for the following functions: - ſ e3x . sinh(x) dx

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Q: Evaluate the following definite integral. If the integral diverges, say so and why.

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Q: Inx dx where x>0. 1

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Q: 53. In x dx

A: Solve the following integral

Q: Q2) A. Evaluate the following integral using the Simpson's rule, giving the answer correct to 3…

A: Numerical integration, by Simpson's rule

Q: (c) For what values of a <ß is the integral √ √e-at - e-ßt dt To

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Q: Evaluate the integral two log e base 10, over x times dx, from x = 1 to 10.

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Q: Evaluate the following integral using the Beta function: x5 – 3x6 + 3x7 – x° dx 0,

A: We have given I=∫01x5-3x6+3x7-x8 dx   Beta function: βp, q=∫01xp-11-xq-1 dx  where p&gt;0 and q&gt;0…

Q: Evaluate the following definite integral by using the properties of Beta and Gamma functions. ∫…

A: Evaluate the following definite integral by using the properties of Beta andGamma functions. ∫ x^4(1…

Q: Given R, express its limits as n → o as a definite integral, identifying the correct interval. Rn…

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Q: 2e* -dx 8+ et •3 dx o x-2 TeCos(T2) 1 - dx 14 csc(Tx)

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Q: Evaluate the following definite integrals log(1+cosx) dx .

A: Given the definite integral

Q: I. Evaluate the following integrals. 1. J 1 - coth² (log₂x) dx x cosh (log₂ x)

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Q: Q: Find the integral for the following functions:

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Q: 2) Evaluate the following integral: In 2 "log2 (x + 2) x + 2

A: Given : ∫log2x+2ln2x+2dx

Q: Evaluate the following integrals. 1. S 1- coth² (log2 x) x cosh(log₂ x) -dx π 3 (sin³ x) VT…

A: "According to the guidelines we will only solve first question for you. Kindly repost second…

Q: x2 + 8x + 13 dx (x + 4)2

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Q: Evaluate the following integrals using Integration of Exponential Functions. 12. dx 13. [ 2** dx

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Q: Evaluate the following integrals.

A: To solve the given integral

Q: Evaluate the following integral. X'e dx

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Q: cln 27 et + e- d.x x=ln 13 et - e-

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Q: (c) Prove, using the definitions of sinh and cosh in terms of the exponential function, that…

A: The solution is given as

Q: 1. Evaluate the following integrals. (a) r* log x dx (1) / . dr

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Q: logz x (Hint: rewrite using change of base first) a) S" dx

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Q: Which of the following indefinite integrals will result to logarithmic expression? 2 (2x +7)2 B None…

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Q: Q1: Find the value of the following integral | (1- x)3. ev dx

A: The given integral is: I=∫0∞ (1-x)3 ex dx

Q: Evaluate the following integral using the Beta function: x³ – 3.x° + 3x7 – x° dx

A: The given integral is: ∫01x5-3x6+3x7-x8 dx Evaluate the integral using Beta function. Beta function:…

Q: If the graph of f(x) is shown above, what is the value of the following integral? from x=1 to x=9

A: To find the integral of the function f(x) from x = 1 to x = 9, it is required to find the function…

Q: x'lnx dx X

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Q: S(e* +e-*)? dx

A: To determine:

Q: Find a value of x such that is equal to (a) ln 5 and (b) 1.

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Q: 2 Evaluate the following integrals 10 S log₁0 (lox) dx 170 X

A: We need to evaluate integral. NOTE - As per Bartleby's guidelines we can solve one question from…

Q: dx 49. 01 (x – 1)²

A: