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

hartnn

Efficient (or any) way to integrate this: \(\large \sqrt{a^2cos^2 x+b^2sin^2x}dx\)

  • one year ago
  • one year ago

  • This Question is Closed
  1. hartnn
    Best Response
    You've already chosen the best response.
    Medals 2

    \(\huge \int \large \sqrt{a^2cos^2 x+b^2sin^2x}dx\)

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

    @sauravshakya @siddhantsharan

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

    @Zekarias

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

    did you try competing square?

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

    adding and subtracting 2ab sinxcosx ?

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

    yep thats what came into my ind first not foolproof

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

    plz.,try...

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

    did that work @hartnn

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

    what if we insert 1-sin^2(x) instead of cos^2(x)

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

    \(\sqrt{(acos x+bsinx)^2-2absinxcosx}\) hmm....what next ?

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

    seems to be an elliptic integral and there is no closed form for elliptic integrals

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

    maybe

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

    yes, i heard same thing earlier....but could not digest that this simple function is not integrable......

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

    no closed form...any *open* form ?

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

    You may try the Weierstrass substitution....

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

    more simpler\[\int \sqrt{1+\sin^2 x} \ \text{d}x\]but no closed form :)

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

    ohh...okk....so no closed form means? do we write it in some new function form ?

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

    closed form means there is no antiderivative for integrand in terms of elementary functions

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

    ok,then.....no use banging our heads,solving this....m closing it.....

    • 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.