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
Algebra 1 Solve number 10 !!!
tangare [24]

Answer:

0.06x + 0.15y = 69.84

x = (69.84 - 0.15y) / 0.06

y = (69.84 - 0.06x) / 0.15

x + y = 852

((69.84 - 0.15y) / 0.06) + y = 852

y = ?

(I'm not trying to give you the answer but guide you how to do it)

8 0
3 years ago
F y = 16x, which table shows the values of y for different values of x?
Natali5045456 [20]
X )0 2 4 y)0 16 32 is ur answer 
7 0
3 years ago
Read 2 more answers
In a batch of 960 calculators, 8 were found to be defective. What is a probability that a calculator chosen at random will be de
DaniilM [7]
Out of 960 calculators, 8 were found be to defective

Probability:
                 \frac{8}{960}
                 0.00833...
As a Percent:
                 0.00833....× 100
                 0.833%
To the nearest tenth of percentage:
                 0.833% ≈ 0.8%
8 0
3 years ago
Read 2 more answers
Im so bad at math. Help please!
Ulleksa [173]
Answer is C. Granted gas prices are fixed. if you buy 1 gallon.. price is x. if you buy 2 gallons, price is 2x. and so on. constant rate of change.
6 0
3 years ago
F(x)=x^2 what is g(x)
timofeeve [1]
Need more info. What are you trying to look for?
3 0
3 years ago
Other questions:
  • A race car driver complete 30 laps in 15 minutes at a constant Speed
    5·1 answer
  • If point c divides in the ratio 2 : 3, the coordinates of c are . if point d divides in the ratio 3 : 2, the coordinates of d ar
    7·1 answer
  • 2. Erin has a rope that is 3 yards long. Into how many pieces can he cut the rope of each piece is 1/4 yard long?
    14·1 answer
  • PLEASE ANSWER FAST<br> Question in picture<br> (question 31)
    6·2 answers
  • What is the domain of the given function?
    11·2 answers
  • One cubic millimeter of Mrs. Murphy's blood contains about 5,000,000 red blood cells. There are about 4,900,000 cubic millimeter
    12·1 answer
  • An item is priced at $14.32. If the sales tax is 6%, what does the item cost including sales tax
    10·2 answers
  • Which of the following factor pairs for 16
    5·2 answers
  • The Table below shows the number of hours ten students spent studying for a test and their svores​
    9·1 answer
  • A movie theater owner made this box plot to represent attendance at the matinee movie last month.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!