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
Alona [7]
3 years ago
11

∫x(x-6)³dx by using substitution u=x-6​

Mathematics
1 answer:
Agata [3.3K]3 years ago
7 0

Answer:

\large\boxed{\int\bigg(x(x-6)^3\bigg)dx=\dfrac{1}{5}(x-6)^5+\dfrac{3}{2}(x-6)^4+C}

Step-by-step explanation:

\int\bigg(x(x-6)^3\bigg)dx\Rightarrow\left[\begin{array}{ccc}x-6=u\\x=u+6\\dx=du\end{array}\right]\Rightarrow\int\bigg((u+6)u^3\bigg)du\\\\=\int(u^4+6u^3)du=\dfrac{1}{5}u^5+\dfrac{6}{4}u^4+C=\dfrac{1}{5}(x-6)^5+\dfrac{3}{2}(x-6)^4+C

You might be interested in
W = 3x + 7y solve for y
mario62 [17]

Answer:

The value of the equation y=\frac{W-3x}{7}.

Step-by-step explanation:

Consider the provided equation.

W = 3x + 7y

We need to solve the provided equation for y.

Subtract 3x from both side.

W-3x= 3x-3x+ 7y

W-3x=7y

Divide both sides by 7.

\frac{7y}{7}=\frac{W-3x}{7}

y=\frac{W-3x}{7}

Hence, the value of the equation is y=\frac{W-3x}{7}.

8 0
3 years ago
Somebody please help me
Elan Coil [88]
4x=6x-14

First isolate the variables onto one side and the numbers on the other so subtract 4x from both sides of the equation and add 14 to both sides of the equation to get 14=2x then you are going to want to completely isolate the variable so you divide 2 on both sides to get an answer of X=7
4 0
3 years ago
Write an expression that represents the edge length of jewelry box
Mandarinka [93]

Answer:

The cubed-root of v (/v)

Step-by-step explanation:

Like your work on the second question illustrated, the cubed root of v (which is 216) is your expression for the edge length of the box in inches.

Hope this helps!

4 0
3 years ago
Read 2 more answers
On my sister's 15th birthday, she was 159 cm in height, having grown 6% since the year before. How tall was she the previous yea
Zarrin [17]
It means that her height in this year is 106\%x in regards to the last year, where x is her height in last year, so:

159=106\%x

159=\frac{106}{100}x

159=\frac{53}{50}x

159*50=53x

159*50=53x

7950=53x

150=x
8 0
3 years ago
a ladder 10 ft long leans against a wall. The foot of the ladder is 8ft from the base of the wall. How high up the wall does the
Alekssandra [29.7K]

Answer:

6 ft.

Step-by-step explanation:

a^2+8^2=10^2\\a^2+64=100\\a^2+64-64=100-64\\a^2=36\\\sqrt{a^2}=\sqrt{36}\\a=6

5 0
3 years ago
Other questions:
  • work out the circumference of this circle take pie to be 3.142and give your number to 1 decimal place and the radius is 11.2cm
    15·2 answers
  • The number of bags of mulch you need to cover a planting area varies jointly with the area to be mulched (a) in sq ft and the de
    13·1 answer
  • Subtract 8.263 from 13.48.<br>A)5.217<br>B)5.783<br>C)21.743<br>D)6.815
    6·1 answer
  • I don't know how to do this please help
    7·1 answer
  • A 155 pound man burns about 500 calories per hour playing raquetball. one pound is equal to 3500 calories. how long will it take
    5·1 answer
  • The graph represents the parking fees at a mall parking lot.
    12·2 answers
  • In a shopping mall, two elevators pass each other moving in opposite directions. Each elevator is moving at the same speed. The
    15·2 answers
  • 3
    9·1 answer
  • Alice went shopping at a kids' clothing store where the shirts and pants were
    5·2 answers
  • A patient has been prescribed 1 gram (g) of Drug A. The stock dose is available in 250 milligram (mg) tablets. How many tablets
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!