1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Integrating Sin

  1. May 6, 2008 #1
    1. The problem statement, all variables and given/known data

    [tex]\int\sin(6\theta) d\theta[/tex]


    2. Relevant equations



    3. The attempt at a solution

    [tex]\int6\cos6\theta[/tex]

    Am I close?
     
  2. jcsd
  3. May 6, 2008 #2
    If it helps do a u-sub where u=6theta

    Or you could think of it like this:

    If we take the derivative of [tex]\frac{d}{d \theta}(-cos(\theta)) = sin(\theta)[/tex]. That's sort of like the anti-derivative which you seek.

    If we take the derivative of [tex]\frac{d}{d \theta}(-cos(6 \theta)) = 6sin(6 \theta)[/tex].

    So from there it's easy to see that[tex]\int\sin(6\theta) d\theta = \frac{-cos(6\theta)}{6}[/tex]
     
  4. May 6, 2008 #3
    errr...

    [tex]\frac{-\cos6\theta}{6}[/tex]
     
  5. May 6, 2008 #4
    thanks :)
     
  6. May 6, 2008 #5
    Yeah looks right^^
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Integrating Sin
  1. Integrate sin(sinx)) (Replies: 7)

  2. Integrating Sin(x^3) (Replies: 2)

  3. Integral of sin*sin (Replies: 6)

Loading...