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3 years ago

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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The price of a book rises from £16 to £20 work out the percentage increase

Vladimir79 [104]

Answer:

25%

Step-by-step explanation:

20-16=4

16…4

1 … 4/16

100…4/16×100

1/4×100

25%

5 0

2 years ago

I need help please i would appreciate it

Reptile [31]

Answer: 5/3

i hope that’s correct :)

3 0

2 years ago

Read 2 more answers

If n+h/5=f+9/9, then n/5=

Ann [662]

------------------------------------------------------------------
Question
------------------------------------------------------------------
$\boxed { \frac{n+h}{5} = \frac{f+9}{9}}$

------------------------------------------------------------------
Split the fraction on the left
------------------------------------------------------------------
$\boxed { \frac{n}{5} + \frac{h}{5} = \frac{f + 9}{9}}$

------------------------------------------------------------------
Take away h/5 from both sides
------------------------------------------------------------------
$\boxed { \frac{n}{5} = \frac{f+9}{9} - \frac{h}{5}}$

------------------------------------------------------------------
Change the denominator to be the same
------------------------------------------------------------------
$\boxed { \frac{n}{5} = \frac{5f+45}{45} - \frac{9h}{45}}$

------------------------------------------------------------------
Put it into single fraction
------------------------------------------------------------------
$\boxed { \frac{n}{5} = \frac{5f+45-9h}{45} }$

-------------------------------------------------------------------
Rearrange (This step may not be necessary)
------------------------------------------------------------------
$\boxed {\frac{n}{5} = \frac{5f-9h+ 45}{45} }$

$\bf \Longrightarrow \ Answer \ : \boxed {\boxed {\frac{n}{5} = \frac{5f-9h+ 45}{45} }}$

6 0

3 years ago

M=2, m=-1/2 is they parallel or perpendicular

emmasim [6.3K]

Answer:

perpendicular

Step-by-step explanation:

4 0

3 years ago

Please help I'll give brainliest

SIZIF [17.4K]

Answer:

y + 1 = 4(x - 2)

y = 4x + 11

8x - 2y = 6

Step-by-step explanation:

Following equations are parallel to the graph 4x - y = 6, because their slopes are equal (4).

y + 1 = 4(x - 2)

y = 4x + 11

8x - 2y = 6

8 0

2 years ago