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
Serjik [45]
3 years ago
8

What is the integral ln x^1/3 dx.

Mathematics
1 answer:
Maksim231197 [3]3 years ago
6 0
Hello,

\int\limits{ln(x^\frac{1}{3}) } \, dx =\frac{1}{3}*\int\limits{ln(x) } \, dx \\\\
=\frac{1}{3}*(x*ln(x)-x)+C=\frac{x}{3}*(ln(x)-1)+C



Th\int\limits{ln(x) } \, dx=x*ln(x)- \int\limits{x* \frac{1}{x}   \, dx \\\\
=x*ln(x) -x+C

The last integration is made by "parties(in french)"

\int\limits{ln(x)} \, dx =x*ln(x)- \int\limits{x* \frac{1}{x} } \, dx \\\\
=x*ln(x)-x+C



You might be interested in
One of Newton’s laws of motion states that objects in motion tend to stay in motion. What is the reason that this law may not al
Nastasia [14]

The answer is D.

The full specification of Newton's First Law is (from Wikipedia)

In an inertial frame of reference, an object either remains at rest or continues to move at a constant velocity, unless acted upon by a force.

On earth we're generally in slightly a non-inertial frame, with rotation and revolution around the sun. It's also impossible to turn of gravity, so objects are being acted upon by an outside force. Typically there's also the outside force of friction, which makes things tend to stop.




4 0
3 years ago
Read 2 more answers
Amanda is making pillows for her sofa, The fabric that she likes costs $45 per yard. Amanda waits until
luda_lava [24]
Well 58 inches is 4 feet, so Amanda has to purchase 2 yards of fabric. So this brings her to $90. If you multiply 90 by 40%, and then subtract that number from 90, you have 54. Multipy 54 by the sales tax and then add that number to 54. So Amanda will have to pay $56.75. Hope this helps, have a nice day :)
3 0
3 years ago
She walks 2 minutes for every 5 she runs. If she walks for 12 minutes how many minutes does she spend running?
ehidna [41]
Answer:

I believe it is, 30 minutes of running.

Explanation:

If she spends 12 minutes walking, that means she’s done 6 ‘sets’ of two minutes.

Then, you just have to multiply 6 by 5 and then you get 30.
5 0
3 years ago
What is the value of 8/9 divided by 5/12?
bulgar [2K]

Answer: 96/45

Step-by-step explanation: The answer is 96/12 because to divide fractions you reciprocate the second fraction and turn it into a multiplication problem.  

8 times 12 = 96

9 times 5 = 45

96/45

7 0
3 years ago
Read 2 more answers
a driver won a recent race with a record average of about 200 mph. This record is about 2 3/11 times the average speed of the fi
Oksi-84 [34.3K]
Answer:
300
——
11

Step-by-step solution

200/2*3/11
100*3/11
300/11

300/11 or 27 3/11 or 27.27

5 0
3 years ago
Other questions:
  • If a(x) = 3x + 1 and b(x)= √x-4 , what is the domain of (b*a)(x)
    11·2 answers
  • Laurie was scuba diving. Each time she dove 5 feet deeper, she would stop and clear her ears. Each time that this totaled 20 fee
    11·2 answers
  • On another question the rest
    6·1 answer
  • I need help on all of these
    14·1 answer
  • Gerald graphs the function f(x) = (x – 3)2 – 1. Which statements are true about the graph? Select three options.
    9·1 answer
  • Ronnie bought 6 ice cream cones for himself and his friends. Seventeen cents tax was added to the price of each cone. The total
    8·1 answer
  • Course Hero The Pretty Pizza Company wants to open a new pizza place on either the north side of town or the south side of town.
    15·1 answer
  • I need the answer for a= and b=
    15·1 answer
  • I neeeddd hellppp on this
    6·2 answers
  • Find the percent increase or decrease to the nearest percent. From 14 books to 40 books From 72 points to 50 points
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!