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VMariaS [17]
3 years ago
13

What is the indefinite integral of 1/xln(x^3) dx?

Mathematics
2 answers:
Aleonysh [2.5K]3 years ago
8 0
Hello,

\int\limits{ \dfrac{ln(x^3)}{x}} \, dx = 3*\int\limits{\frac{ln(x)}{x}} \, dx \\\\=3*\dfrac{ln^2(x)}{2} +C
vodka [1.7K]3 years ago
6 0
We are asked to evaluate the integral of the given function:
∫ 1 / x(lnx)³ dx 
<span>Let u = lnx, </span>
<span>du / dx = 1 / x </span>
<span>dx = du(x) </span>
<span>∫ 1 / xu³ du(x) </span>
<span>∫ 1 / u³ du </span>
<span>-1 / 2u² + C </span>
<span>Since u = lnx, </span>
<span>-1 / 2(lnx)² + C </span>
<span>-1 / 2ln²x + C</span>
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Step-by-step explanation:

f(x)= (x-6) /(x²-3x-18)

=> (x-6) / (x-6)(x+3)

Domain = { x/ x≠6, x≠-3, x€R}

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What are mathematical formulas placed in software that performs an analysis on a data set?
aalyn [17]

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<h3>What are algorithms?</h3>
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8 0
2 years ago
Find the distance between the points (1,7) and ( 5, 10).
Evgesh-ka [11]

Answer:

Step-by-step explanation:

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5 0
3 years ago
Please help this is geometry and I am not quite sure how to solve this one
Lyrx [107]

Answer:

x = 1

y = 1.7

z = 60⁰

work:

z = 60 because the three angles add to 180⁰ and 180⁰ - 90⁰ - 30⁰ = 60⁰

in a 30-60-90 triangle, the hypotenuse is twice the length of the shorter leg, so x = 1.

the longer leg is the short leg * Sq rt of 3

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8 0
3 years ago
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