NOTE: I is used instead of normal integration symbol. Use integration by parts to evaluate: I ( x5 In(x)) dx . Integrand equals x raised to fifth power times natural log of x. O x4 In(x) - 5/4 x4 + C O 1/6 x6 In(x) - 1/36 x6 + C O 5x4 In(x) + x4 + C O (x6 e*)/6 + C

Q: ln(r^6s^5 5√r^8s^9) is equal to A ln r+B ln s where a=? b=?

A: lnr6s5 r8s95Concepts:ln (m n )= ln(m)+ln(n)ln am=m ln aam*an=am+namn=amn

Q: Determine all values of In(-2 ln(i)).

A:

Q: x log x Evaluate:| dx.

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Q: /ae² + 2=*dz Find Use C as the constant of integration. You may omit absolute value signs from any…

A: We can find the answer as below

Q: 3 1. y = logVV12x %3D

A: 1. Given function is y=log12x3. Solution: We know that, logab=b loga Given function can be…

Q: Intergrate (ln x)2. Show all working out.

A: We have to integrate lnx2 that is ∫lnx2dx. Used formula:-  ∫fx⋅gxdx=fx⋅∫gxdx−∫ddxfx⋅∫gxdxdx Here,…

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

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Q: 1+ax dx Evaluate log 1-ax x 1-x

A:

Q: For all positive numbers xxand yywith y≠1y​=1,…

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Q: log (Va+1+1) = 3 log Vr – 40

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Q: 1+ax dx Evaluate log 1-ax x 1-x

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Q: You can use this to decide between competitor splits O Integrals Bias O Weights O Logworth

A: We know that, Logworth is a p-value transformation based on Chi-square test to find the probability…

Q: b. (r – 2) 1. Match the following lists: List II (which of the following functions appear in…

A:

Q: For all positive numbers a and b with a>b ln(a−b)=ln(a)/ln(b)

A: given a,b positive numbers anda>b

Q: Evaluate / x-4 x+4 O x+ 0.log(x – 4) + C O None O x+4.log(x + 4) + C O x+ 8.log(x – 4) + C

A: Using indefinite integral,

Q: h = log(x² + y² + z²), Find hx when x = 1; y = xsinx ; z = xcosx a. 0.89 b. 0.86 C. 0.88 d. 0.87

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Q: How is ln x affected if x is multiplied by et?

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Q: Use the appropriate methods to integrate two of the following (state any numerical answers correct…

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Q: b. y= tan(7x-3)•log 4(5 + 2x) use the Product rule (3)

A: We use product rule of derivative :d/dx(uv)=ud/dx(v)+vd/dx(u). See 2nd step.