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

heydayana Group Title

evaluate the indefinite integral. problem below

  • one year ago
  • one year ago

  • This Question is Closed
  1. heydayana Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    \[\int\limits ( \Theta - \cos ( 1-\Theta) d \Theta \]

    • one year ago
  2. artix_17 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    1-sin(1-theta)/-1+C =1 +sin(1-theta)+c

    • one year ago
  3. RadEn Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    use integral subs, let u=(1-Θ)

    • one year ago
  4. artix_17 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    oops its I did a mistake there

    • one year ago
  5. artix_17 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    it should be \[\theta ^{2}/2 + \sin(1-\theta)+\]

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

    if i use subs what do i do after i get du=-1d\[\Theta \] ?

    • one year ago
  7. RadEn Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    well, i want explain it step by step u = 1-Θ -----> Θ=1-u, right ?

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

    yes

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

    next, u have got u = 1-Θ du = -dΘ or dΘ = - du, right ?

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

    yesss

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

    next, we substitute of them to the original problem : ∫(Θ−cos(1−Θ))dΘ = ∫[(1-u) - cosu] (-du) = ∫[(u-1) + cosu] du, agree ???

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

    yes

    • one year ago
  13. RadEn Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    ok, just integral all one by one, int u du= ... int -1du= .... int cosu du= .... what u get ????

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

    1/2 u^2 -u + sin u + c ?

    • one year ago
  15. RadEn Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    yes, correct now, the last step u must substitute back that u = 1-Θ

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

    i end up getting -1/2 -1/2theta^2 + sin (1-theta) is the -1/2 suppose to be there?

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

    from ur answer : 1/2 u^2 -u + sin u + c , just change u=1-Θ, gives 1/2(1-Θ)^2 -(1-Θ) + sin(1-Θ) + c i think enough be the answer, but if u want simplify it might too

    • one year ago
  18. heydayana Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    whats the final answer if you simplify?

    • one year ago
  19. RadEn Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    1/2(1-Θ)^2 -(1-Θ) + sin(1-Θ) + c = 1/2 (1-2Θ + Θ^2) -1 + Θ + sin(1-Θ) + c = 1/2 - Θ +1/2*Θ^2 -1 + Θ + sin(1-Θ) + c = -1/2 +1/2*Θ^2 + sin(1-Θ) + c = -1/2 (1-Θ^2) + sin(1-Θ) + c

    • 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.