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!

Antiderivative trig function

  1. Apr 19, 2008 #1
    Hey guys!
    So i have to find the antiderivative of
    (1-cos(t/6))^3 * sin(t/6)
    I have tried a bunch of different ways like by parts, trig substitution, identities, u-substitution then developing it, etc. but i just cant get it!!
    Can some one just tell me the proper method to use after that im sure i can figure it out.
    thanks!!!
     
  2. jcsd
  3. Apr 19, 2008 #2

    Dick

    User Avatar
    Science Advisor
    Homework Helper

    You must not have tried u substitution very hard. Try u=(1-cos(t/6)).
     
  4. Apr 19, 2008 #3

    Defennder

    User Avatar
    Homework Helper

    It should be doable. Or so says Wolfram's online integrator. I tried it out and managed to reduce it to a doable trigo form. You only need use integration by parts and then replace all those trig terms which are of power 2 and 3 with power 1 terms by means of some trigo formulae.
     
  5. Apr 19, 2008 #4

    Dick

    User Avatar
    Science Advisor
    Homework Helper

    I don't see why you are working so hard on it. There's a much simpler way.
     
  6. Apr 19, 2008 #5

    Defennder

    User Avatar
    Homework Helper

    You're right, I just didn't see it before you posted.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Antiderivative trig function
Loading...