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Integration prob ~ help plz

 
 
cookiez
 
Reply Fri 11 Mar, 2005 06:26 pm
Hi can someone help me with this integral?

It's the integral of cos ^ 4 (x) dx
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Type: Discussion • Score: 1 • Views: 470 • Replies: 2
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Vengoropatubus
 
  1  
Reply Sat 12 Mar, 2005 12:10 pm
Don't integrals require a lowe and upper boundary?
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g day
 
  1  
Reply Sat 12 Mar, 2005 05:12 pm
Indefinite integrals don't

2 standard integrals are:

Integrate cos ^ 2 (x) dx = 1/2x + 1/4sin2x + Constant

and

Integrate cos ^ n (x) dx = 1/n cos ^(n-1) x sin x + (n-1)/n * Integrate cos ^ (n-2) x dx

So combine these chain itegrations to get

Integrate cos ^ 4(x)dx = 1/4 cos ^(3) x sin x + 3/4 [1/2x + 1/4sin2x + Constant]
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