Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

aprilanahi

  • one year ago

Find the indefinite integral of (y+(2/sin^2y))dy

  • This Question is Closed
  1. JamesJ
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    Hint: what's the derivative with respect to y of cot(y) ?

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

    cscx?

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

    No. But it is related to the 1/sin^2 y in your question

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

    I still don't get it?

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

    csc^2x

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

    \[ \frac{d }{dy} \cot y = - \frac{1}{\sin^2 y} = - \csc^2 y \]

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

    Hence \[ \int \left( y + \frac{2}{\sin^2 y} \right) \ dy = \int y \ dy + 2 \int \csc^2 y \ dy = ... \]

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

    So what's the answer?

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

    You tell me. I've done the first few steps for you. You only have 2 more to do: evaluate each of those integrals above

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

    y^2/2+2cotx+c

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

    Double check your signs!

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

    Negative cotx

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

    yes

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

    Yes, thank you!!!

  15. 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.