A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 5 years ago

evaluate this integral integral (1-cos t/2)^2 sin t/2 dt u= 1-cos t/2

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

    if u=1-cos(t/2) then du=1/2 *sin(t/2) dt or 2du=sin(t/2) dt

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

    so now we have \[2\int\limits_{}^{}u^2du\]

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

    thats the part i don't get

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

    how to get du

  5. myininaya
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so you are having trouble with derivatives?

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

    the derivative of 1 is 0 and the derivative of -cos(t/2) is 1/2(-1)(-sin{t/2})=1/2 sin(t/2)

  7. myininaya
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    u is a function of t so we have du/dt=1/2*sin(t/2) so by multipling dt on both sides we have du

  8. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok i understand now thanks!

  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

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.