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

Albertoimus

Evaluate the following indefinite integrals.

  • one year ago
  • one year ago

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

    • one year ago
    1 Attachment
  2. amoodarya
    Best Response
    You've already chosen the best response.
    Medals 1

    • one year ago
    1 Attachment
  3. RyanL.
    Best Response
    You've already chosen the best response.
    Medals 1

    ^ oh yeah u substitution :D

    • one year ago
  4. RyanL.
    Best Response
    You've already chosen the best response.
    Medals 1

    @Albertoimus Do you get it? I know it looks a little messy but if you want I can rewrite so you can see it better.

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

    by all means.

    • one year ago
  6. RyanL.
    Best Response
    You've already chosen the best response.
    Medals 1

    \[\int\limits_{}^{}\frac{\cos \sqrt{x}}{\sqrt{x}}dx\] where we say that \[u=\sqrt{x}\]and if we square both sides that means that \[x=u^2\]and if we take the derivative of that we get \[dx=2u\]

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

    The next step is a matter of replacing things

    • one year ago
  8. RyanL.
    Best Response
    You've already chosen the best response.
    Medals 1

    woops the last part should be \[dx=2udu\]

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

    \[\int\limits_{}^{}\frac{cosu}{u}*2udu\] we cancel the u on the top with the u on the bottom. Also since 2 is a constant we take it outside the integral \[2\int\limits_{}^{}cosu*du\] the integral of cos u du is simply sin u \[2* \sin u\] And now we want it to convert it back into x instead of u and we know already that \[u=\sqrt{x}\] So it comes out as \[2*\sin \sqrt{x}\]

    • one year ago
  10. RyanL.
    Best Response
    You've already chosen the best response.
    Medals 1

    Done!

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

    thanks

    • 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.