Integral of sin^2t*cos^4t

  • Thread starter skyturnred
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  • #1
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Homework Statement



[itex]\int^{0}_{pi}(sin^{2}t)*(cos^{4}t)[/itex]

Homework Equations





The Attempt at a Solution



I know you have to use trig identities.. but everything I try does not work.
 

Answers and Replies

  • #2
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The limits of the integral should be reversed.
 
  • #3
Dick
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Homework Statement



[itex]\int^{0}_{pi}(sin^{2}t)*(cos^{4}t)[/itex]

Homework Equations





The Attempt at a Solution



I know you have to use trig identities.. but everything I try does not work.
You can do it with double angle identities. But you haven't shown anything you've tried yet. What did it occur to you to try?
 
  • #4
SammyS
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Homework Statement



[itex]\displaystyle \int_{0}^{\pi}(\sin^{2}t)*(\cos^{4}t)[/itex] dt

Homework Equations





The Attempt at a Solution



I know you have to use trig identities.. but everything I try does not work.
[itex]2\sin(\theta)\cos(\theta)=\sin(2\theta)[/itex]

So, sin2(θ)cos2(θ) =   ?  

[itex]2\cos^2(\theta)-1=\cos(2\theta)[/itex]

So, cos2(θ) =   ?  
 
  • #5
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cos^2(t)=1-sin^2(t), then you use the double cos identity until you reduce it down to combination of cos(2t)'s,
 
Last edited:

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