Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

theEric

  • one year ago

I used Wolfram Alpha to see that \(\int x^{-1} dx=\ln\left|x\right|+C\), even though I don't understand why. But what about \(\int f(x)^{-1}dx\)? Wolfram Alpha couldn't come up with a formula. So, is this a problem when trying to solve with substitution?

  • This Question is Closed
  1. Dido525
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    That's basically the integral of 1/f(x) . There are many possibilities depending on what f(x) is.

  2. Dido525
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    you may have to use techniques other than substitution possibly.

  3. Dido525
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    For instance if f(x) is 1+x^2 than we have the integral of 1/(1+x^2) which is arctan(x) + c

  4. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1377755678612:dw|

  5. theEric
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Okay! So, if the function is know, then we just try to integrate it. Thank you!

  6. theEric
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I'm going to ask about the specific problem in another post. This one is done, thanks! :)

  7. Dido525
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    Allright :) .

  8. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.