Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

bii17

  • 3 years ago

integrate csc^5 x dx

  • This Question is Closed
  1. .Sam.
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    http://www.chegg.com/homework-help/questions-and-answers/integral-csc-5-x-q47028

  2. AravindG
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    got it ?

  3. TuringTest
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[\csc^2x=\cot^2x+1\]so\[\int\csc^5xdx=\int\csc x(\csc^4x)dx=\int\csc x(1+\cot^2x)^2dx\]this can be done from here using u-substitutions; remember that\[\frac d{dx}\csc x=-\csc x\cot x\]

  4. bii17
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    what happen next @TuringTest

  5. TuringTest
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    expand and simplify\[\csc x(1+\cot^2x)^2\]what do you get?

  6. bii17
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    csc x(1 + 2 cot^2 x + cot^4 x)

  7. TuringTest
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    good, and distributing csc x...

  8. TuringTest
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    oh dear, I really messed that up, never mind my original suggestion... your integral is actually pretty darn tricky, I will have to reevaluate my approach.

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

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy