Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

chakshu

  • one year ago

double integral of e^y/x dy dx with outer limits as 0 and 2 and inner limits as 0 and x^2 ???

  • This Question is Closed
  1. chakshu
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @TuringTest why do we dont change order in this one...ans, is 1/2

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

    \[\int\limits_{0}^{1}\int\limits_{0}^{x^2} e^ y/x dy dx\]

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

    @ kainui then why we change order here let me tag you in one...

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

    I'm sorry, I'm either really tired or confused. It seems to me that this integral can only be done by changing the bounds. Is that what you are saying @chakshu ? You are asking why we have to change the bonds?

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

    m asking that why this question is not solved by changing order of integeration its just solved simply to give ans. as 1/2

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

    i will repeat turing's word. in last Q, it was difficult to integrate w.r.t y after x was integrated, thats why bounds were changed. in this case, its easy to integrate without changing bounds

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

    http://openstudy.com/users/chakshu#/updates/5080305ee4b0b56960054f2d this is another questn that involves changing order i just wanna knoe the theoritical differnce that when do we have to change order to integerate ????hope this is simple to understnd

  8. abb0t
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    It might help to sketch a picture of the graph first to better explain this.

  9. satellite73
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    i may be totally wrong (probably am) but isn't \[\int_0^{x^2}\frac{e^y}{x}dy=\frac{e^{x^2}-1}{x}\]

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

    @hartnn so ur sayin since in previous questn we had difficult limts so we changed order and in this one we have easy limits so we dont??

  11. satellite73
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    then second job would be to compute \[\int_0^1\frac{e^{x^2}-1}{x}dx\]

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

    ohhhhhhhh my bad frnds its e^y/x sorrrrrrrrryyyyyy for that mistake

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

    its not about limits, its about what u get after integrating w.r.t one of the variables, sometimes the resulting function is very difficult to integrate w.r.t other variable...

  14. abb0t
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    In general: \[\int\limits \int\limits f(x,y)dA = \int\limits_{a}^{b} \int\limits_{g_1(x)}^{g_2(x)}f(x,y)dydx \]

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

    Use parentheses. e^(y/x) or (e^y)/x?

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

    @chakshu no one can help you until you answer this last question I just asked you lol.

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

    I answered his question through facebook everyone, my connect here sucks it was e^(y/x)

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

    Search OpenStudy
    • 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.