1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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
What method would you choose to solve the equation 2x^2-7=9
Margaret [11]
Here is one way to solve for x.

Step 1)  2x^2-7=9

Step 2)  2x^2-7+7=9+7

Step 3)  2x^2=16

Step 4)  (2x^2)/2=16/2

Step 5)  x^2=8

Step 6)  sqrt(x^2)=sqrt(8)

Step 7)  |x|=sqrt(8)

Step 8)  x=sqrt(8) or x=-sqrt(8)

-------------------------------------

Below are explanations/reasons to each of the steps above.

Step 1) Original equation

Step 2) Add 7 to both sides

Step 3) Combine like terms

Step 4) Divide both sides by 2

Step 5) Simplify

Step 6) Apply the square root to both sides. The notation "sqrt" is shorthand for "square root"

Step 7) Use the rule that sqrt(x^2) = |x| for all real numbers x

Step 8) Use the rule that if |x| = k then x = k or x = -k for some fixed number k.

-------------------------------------

The two solutions are
x = sqrt(8) or x = -sqrt(8)

3 0
3 years ago
0.9/0.5 = a/10 Plz help
jonny [76]

Answer:

18

Step-by-step explanation:

10/0.5 = 20

20 * 0.9 = 18

7 0
3 years ago
Read 2 more answers
CAN SOMEONE HELP ME!!!!!
Ivenika [448]
Area yellow =11 x 6
= 66
red area = 7 x 2
=14
area of yellow
66 - 14 = 52
7 0
3 years ago
write an equation of a line that passed through the point (2,0) and is a perpendicular to the line y=-1.5+3
kotegsom [21]

You will be using the equation y = mx + b

The only variables you need to find are "m" and "b"

For the equation of a line to be perpendicular to the given line, the slope will have to be the opposite of the given slope. Or you have to flip the sign and the number of the given slope to get your new slope.

For example:

m = -2

perpendicular slope = 1/2(positive)

m = 3/4

perpendicular slope = -4/3(negative)


The slope of the line is -1.5 or -3/2

Your new slope is 2/3

y = 2/3x + b

To find "b", you plug in the point (2,0) into the equation.

0 = 2/3(2) + b

0 = 4/3 + b

-4/3 = b


Your new equation is y = 2/3x - 4/3

7 0
3 years ago
The grid model expressed as a ratio of shaded squares to total squares is _____
fredd [130]

Answer:

1  = 25/50

2 =  1/2

3 = 0.50

4 = 50%

Step-by-step explanation:

i got it right on edg and i hope it helps :)

4 0
3 years ago
Other questions:
  • Twins Isaac and Isaac where just born. Issac weighs 6 pounds 2 ounces and Isaiah weighs 5 pounds 4 ounces how many ounces do the
    12·1 answer
  • What is the x-intercept of y=40x+70
    10·1 answer
  • Please help....................​
    9·1 answer
  • Select all the numbers that are rational.
    15·1 answer
  • PLEASE HELP ILL GIVE 49 POINTS! THANKS!<br><br><br> Show work
    9·2 answers
  • What does x and y equal
    5·2 answers
  • Write an equation in slope intercept form for the line with slope 1/4 and y-intercept -6.​
    13·2 answers
  • Combine like terms.
    13·2 answers
  • 4 +62 x :2<br> If b = 4 and c = 10, what is the value of the expression?
    12·1 answer
  • Which us the simplified form of <br><img src="https://tex.z-dn.net/?f=%20%7Bp%7D%5E%7B0%7D%20" id="TexFormula1" title=" {p}^{0}
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!