answersLogoWhite

0

∫ 4/x dx

= 4 ∫ 1/x dx

= 4ln(x) + C

This is true for three reasons:

  1. the derivative of the term ln(x) is equal to 1/x
  2. 4 is a constant factor of the term, and can be moved out of the integral
  3. C is an unknown constant, because we're looking at an indefinite integral

You can confirm this by taking the derivative of 4ln(x), which gives you 4/x, the original term.

User Avatar

Wiki User

15y ago

Still curious? Ask our experts.

Chat with our AI personalities

BeauBeau
You're doing better than you think!
Chat with Beau
RafaRafa
There's no fun in playing it safe. Why not try something a little unhinged?
Chat with Rafa
ProfessorProfessor
I will give you the most educated answer.
Chat with Professor

Add your answer:

Earn +20 pts
Q: What is the antiderivative of 4 divided by x and why?
Write your answer...
Submit
Still have questions?
magnify glass
imp