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!

Forgot my trig integral tricks

  1. Oct 31, 2011 #1
    1. The problem statement, all variables and given/known data

    ∫[sin4(t)cos2(t) + cos4(t)sin2(t)]dt



    3. The attempt at a solution

    Is there any way to do this integral using a substitution, or do I need to just split it into two integrals and apply a very messy series of half-angle identities?

    Thanks.
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Oct 31, 2011 #2

    Dick

    User Avatar
    Science Advisor
    Homework Helper

    I would first factor cos(t)^2*sin(t)^2 out and look at what's left.
     
  4. Oct 31, 2011 #3
    DOH! That was stupid... finished. :)

    Thanks a ton! BTW, this integral is involved in the area of a hypercycloid, which apparently is 3πa2/8.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Forgot my trig integral tricks
  1. Integration Tricks (Replies: 13)

Loading...