Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

Eherre1989

  • 2 years ago

can someone solve this for me without changing the limits of integration?

  • This Question is Closed
  1. Eherre1989
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[\int\limits_{1}^{3}x \sqrt{1-(x-2)^2}dx\]

  2. Eherre1989
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    step by step please

  3. Eherre1989
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    it has to be a trig substitution i just get stuck when i have to integrate the sins

  4. Mr.Math
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Write what you have so far.

  5. Eherre1989
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[\int\limits_{}^{}(\sin \theta-\sin^3\theta-2\sin^2\theta+2)d \theta\]

  6. Eherre1989
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i need that integrated i cant seem to figure out the middle two

  7. Eherre1989
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i feel as if i should do by parts

  8. Mr.Math
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Break it down into four integrals. I'm sure you know how to integrate \(\sin\theta\) and \(2\).

  9. Mr.Math
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    For \(\sin^3\theta\), write \(\sin^3\theta=\sin\theta-\cos^2\theta\sin\theta\), and then the integral of \(\sin\theta\) is easy. Substitute \(u=\cos\theta\) for the integration of \(-\cos^2\theta\sin\theta\).

  10. Eherre1989
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i dont remember any trig identities

  11. Mr.Math
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \(\sin^2\theta=\frac{1-\cos(2\theta)}{2}\).

  12. Mr.Math
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Sorry it should be \(-2\sin^2\theta=\cos(2\theta)-1\).

  13. Eherre1989
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    oh ok thanks

  14. Mr.Math
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    You're welcome.

  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.