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Homework Help: 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

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    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.
     
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