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Forgot my trig integral tricks

  • Thread starter pergradus
  • Start date
  • #1
134
0

Homework Statement



∫[sin4(t)cos2(t) + cos4(t)sin2(t)]dt



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.

Homework Statement





Homework Equations





The Attempt at a Solution

 

Answers and Replies

  • #2
Dick
Science Advisor
Homework Helper
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I would first factor cos(t)^2*sin(t)^2 out and look at what's left.
 
  • #3
134
0
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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