December 1st, 2008, 12:02 AM  #1 
Newbie Joined: Jun 2008 Posts: 28 Thanks: 0  How would you solve this integral?
the integral of sin^2(u)cos(u) du (from 0 to 2pi)

December 1st, 2008, 12:03 AM  #2 
Newbie Joined: Jun 2008 Posts: 28 Thanks: 0  Re: How would you solve this integral?
please help. i'm so confused. : (

December 1st, 2008, 12:35 AM  #3 
Senior Member Joined: May 2007 Posts: 402 Thanks: 0  Re: How would you solve this integral?
You have: Try calculating this first: Take the substitution: Now you have: Now the rest is simple.. 
December 1st, 2008, 07:47 AM  #4 
Senior Member Joined: Jul 2008 Posts: 895 Thanks: 0  Re: How would you solve this integral?
I'd not advise mixing variables in the same integral at the same time, nor substitution unless absolutely necessary. What you might consider is that a number of integral problems arise as a consequence of being the inverse of some already studied differential problems: at which time you might consider that the curve is above the xaxis from 0 to Pi, and below from Pi to 2Pi. 

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