March 15th, 2013, 11:39 PM  #1 
Senior Member Joined: Sep 2012 Posts: 112 Thanks: 0  4 integration problems
Integrate the following I tried to solve these many times, but failed. Please help! 
March 16th, 2013, 01:27 AM  #2 
Senior Member Joined: Feb 2013 Posts: 281 Thanks: 0  Re: 4 integration problems
2. integral (sin(x)) ^(1/2) dx is not an elementary integral, it can be reduced to an elliptic integral, so you can not express it with elementary functions. See elliptic integrals. 1. you can reduce it sin^(3/2). it's suspicious that the same situation as in 2. 3. substitute y = x^2 4. it's hard to believe you can't solve it. 
March 16th, 2013, 10:50 AM  #3 
Newbie Joined: Feb 2013 Posts: 10 Thanks: 0  Re: 4 integration problems
Number four is nothing more than using differentiation rules. The quotient rule is the one you want to use for that one.

March 16th, 2013, 04:06 PM  #4 
Global Moderator Joined: Dec 2006 Posts: 20,757 Thanks: 2138  Re: 4 integration problems
Is the fourth intended to be 1/(5 + 4cos x)? That would be much more interesting.

March 17th, 2013, 04:52 AM  #5  
Senior Member Joined: Sep 2012 Posts: 112 Thanks: 0  Re: 4 integration problems Quote:
 
March 17th, 2013, 05:06 AM  #6 
Senior Member Joined: Sep 2012 Posts: 112 Thanks: 0  Re: 4 integration problems
Thanks a lot csak. Your solutions really worked. I'm grateful to you. Please help me with the 4th one. Actually I forgot the bracket which made it look easy to solve.

March 18th, 2013, 01:19 AM  #7 
Senior Member Joined: Oct 2011 From: India ???? Posts: 224 Thanks: 0  Re: 4 integration problems Substitute , and : 
March 20th, 2013, 02:57 AM  #8 
Senior Member Joined: Sep 2012 Posts: 112 Thanks: 0  Re: 4 integration problems
[reply="Etyucan"] Thank you so very much! 

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