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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

You might be interested in
-2/3x + 2.8 = -8.2 what is x
JulsSmile [24]
-2/3x + 2.8 = -8.2 what is x
Add 2.8 on both side of the equation
-2/3x=-11
Divide both side by -2/3
x=33/2

Check: -2/3(33/2)+ 2.8 = -8.2
-11+2.8=-8.2
-8.2=-8.2

Answer is x=33/2
6 0
3 years ago
2. What is the median of this set of values? (1 point)<br> 6, 8, 10, 8, 4, 2, 12
vredina [299]

Answer:8

Step-by-step explanation:

Right is the middle number when put in order form least to greastes

8 0
2 years ago
Read 2 more answers
Marcus spent 2 hour reading,1 hour playing Rocket League,and took a 2 hour nap. What percent of the total time did he read?
Alona [7]

Answer: He read 40% of the total time.

Step-by-step explanation:

As per given,

Total time he spent = 2 +1+2 = 5 hours

Number of hours he spent on reading = 2 hours

The percent of the total time he read = \dfrac{\text{Number of hours read}}{\text{Total time spent}}\times100

=\dfrac{2}{5}\times100\\\\=40\%

i.e. The percent of the total time he read  = 40%

Hence, he read 40% of the total time.

4 0
2 years ago
Which method would be BEST to use to factor the polynomial 2x2 - 4x6 - 70x5​
Nesterboy [21]

take out some of the x's and take out a two so it should look like this.

2x^5(x2-2x-35)

2x5(x-7)(x+5)

x=0,7,-5

4 0
2 years ago
hudson pick 1 1/4 baskets of apple suzy pick 2 basket of apple how muck more basket apple did suzy pick than hudson.
Vinvika [58]

Answer:

3/4

Step-by-step explanation:

Hudson = 1 1/4 baskets

Suzy = 2 baskets

How much more apple Suzy picked than Hudson :

Suzy - Hudson

2 - 1 1/4

2 - 5/4

L. C. M = 4

(8 - 5) / 4

3 /4 apples

Suzy picked 3/4 more apples Than Hudson

6 0
2 years ago
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