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Hitman42 [59]
3 years ago
6

What is the antiderivative of 3x/((x-1)^2)

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
6 0

Answer:

3 ln(x − 1) − 3/(x − 1) + C

Step-by-step explanation:

∫ 3x / (x − 1)² dx

3 ∫ x / (x − 1)² dx

If u = x − 1, then x = u + 1, and du = dx.

3 ∫ (u + 1) / u² du

3 ∫ (1/u + 1/u²) du

3 (ln u − 1/u + C)

3 ln u − 3/u + C

Substitute back:

3 ln(x − 1) − 3/(x − 1) + C

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Answer:

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Step-by-step explanation:

To find the mean temperature, we have to add all of the numbers together and divide that by the amount of numbers there are.

6 + 5 + 3 + -4 + 3 + -3 + 2 + -1 + -2 + 0 = 9

There are 10 numbers.

Our mean, or average, would be 9 / 10 = 0.9

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G(x)=x^3-3x^2 ; Find g(2)
monitta
I hope this helps you




x=2


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g (2)=8-3.4


g (2)=8-12


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Step-by-step explanation:

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