Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

baddinlol

Area under y = arctan(x) between x = 1 and x = 0

  • one year ago
  • one year ago

  • This Question is Closed
  1. baddinlol
    Best Response
    You've already chosen the best response.
    Medals 0

    I don't understand how to integrate arctan(x) by hand

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

    i think i remember it having something to do with integration by parts...

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

    yep

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

    We have to somehow use the tan function though

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

    It says use the fact that y=artan(x) is the inverse of y = tan(x) to calculate the area between x = 1 and x =0

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

    Any ideas?

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

    We can also graph it for a hint

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

    But we haven't learned integration by parts yet

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

    @baddinlol You have to use integration by parts here, \[\int\limits \tan ^{-1}(x) \, dx\] \[u=\tan^{-1}x~~~~~dv=dx \\ \\ du=\frac{1}{1+x^2} ~~~~~v=x\] \[x \tan ^{-1}x-\int\limits \frac{x}{1+x^2} \, dx\] Then continue...

    • one year ago
    • Attachments:

See more questions >>>

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.