Evaluate In x x (4 - In² x) - In 14- In² x | +C - 2 In 14-In² x | +C 12 -dx In | x (4- In²x) | +C In 14-In² x | +C

Q: 4*+10* 10) S 2x

A: Use integration of ax.

Q: Which of the following gives /₁ O 5tanh-¹ (5x) + C Otanh-¹ (5x) + C Ocoth ¹(5x) + C 5coth-¹(5x) + C…

A:

Q: of Easte 3 5² +45+13 ی ]

A: Some of the properties of inverse Laplace transformation are…

Q: 19. Divide (3x* + 2x³ + x² – 4x + 1) ÷ (x² + x + 1)

A: We have to divide

Q: Show that (k^2 * (k+1)^2)/(4) + (k+1)^3 is equal to ((k+1)(k+2)/2)^2

A:

Q: 2 – L{5 + vZt }

A:

Q: ind witnesses to show that n^3 − 5n^2 − 4n is O(n^3).

A: In this question, order of polynomial can be found with the help of Big-O notation. Big-O Notation…

Q: Is 18* 1/3= greater then 1/3 ?

A: Given : We have to check whether 18*1/3 is greater than 1/3

Q: (*+)(LX +ン 2" (2n +1)

A:

Q: 27. I. = (7? + 4)³/2 - 8) × 14.55 } (x² - + 4)2 – 8) 2 14.55

A:

Q: (6^2 - 3^3) ÷ 2 Show work!

A: The given expression is 62-332

Q: 0- x²dx 6. 5 1 (1 — х2)2

A: Given integral is ∫-10x2dx1-x252dx

Q: How accurately can we calculate √119 using interpolation over points x0 = 100, x2 = 121 and x3 =…

A: Estimate the value of 119 using interpolation. The given points are: x0=100, x1=121 and x2=144…

Q: dx 10. x³+4x 11. x2-1

A: Disclaimer: Since you have asked multiple questions; we will solve the first question for you. If…

Q: What are the steps to prove 4(x-3/2)^2 = (2x-3)^2

A: Given: 4x-322=2x-32 We have to prove left hand side of equation is equal to the right hand side of…

Q: What is (5)^3/3-4(5)

A: (5)^3/3-4(5)

Q: Could you please explain what happened in b and where the 1/2 came from

A: The formula is given by:       xn+1=xn2                         ..........1 Using equation (1), we…

Q: Show the following for [im 11x|lp = 11x11.00 P-0 XER

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Q: In 3 - In x - In(x + 5) = 0

A:

Q: . What is the coefficient of ?^4 when (3+4x^2)^3 is expanded?

A:

Q: Sobne by factory -2 10x ² + 7x² + 1 = 0

A:

Q: What is the order of (y")^3 + 2(y)^5 = 7 · 2 0 1 O 3 O 5

A:

Q: what is the coefficient of X^9 in (x+3)^13

A: An algebric expression of two number connected by operations "+" or "-" is called binomial. The…

Q: what are the first three terms in the binamial, expansion of (2a-0,5b) 1.

A: Given

Q: 2 S²3 (x²-3x+18) 9x-X³

A:

Q: Prove that 4 does not divide n^2 + 2 ( n squared plus 2)

A: We will show that 4 does not divide n2+2 by method of contradiction i.e , we will assume to the…

Q: Find the coefficent of x^6 in the following: (1 + 2x + 4x^2 + 8x^3 + ...)(3x^2 + 3x^4 + 3x^6 +…

A:

Q: Evaluate x²(x³ +9)¹/² dx 2 +9)³/2 +C Nia O (x² +9) ³/2 +C O C(x² +9)³/2 O x³ +9+C

A:

Q: Evaluate: (3 e + 9* – 7) dr =.

A: Given : ∫3e3x+9x-7dx

Q: lifferen tiake 3-Co5hx with respect to X 6+ sisht

A:

Q: How do I use the power rule on the integral 4 3sqrtx+7 4sqrtx? b=1 a=0

A:

Q: @ 2 show Hhat fox) = e*-x3+2 2+2 is a %3D Permutation on R.

A: In the give question we have to show that the function f(x)=e-x-x3+2 is a permutation on ℝ.…

Q: 22. (1 80 + 16') dv

A:

Q: √x csex² not x² dx 2

A: Consider the integral