December 1st, 2008, 01:02 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, 01:03 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, 01:35 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, 08:47 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. 

Tags 
integral, solve 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
How to solve this integral?  kaspersky0  Complex Analysis  3  October 15th, 2012 09:19 AM 
How to solve an integral.  Ad van der ven  Calculus  3  December 17th, 2011 10:53 AM 
An integral to solve  malaguena  Calculus  0  February 14th, 2011 02:18 AM 
How to solve this integral..  tinyone  Calculus  4  November 27th, 2010 07:09 PM 
please solve this integral ..thx  art2  Calculus  1  September 24th, 2009 04:46 AM 