November 28th, 2011, 07:36 PM  #1 
Newbie Joined: Nov 2011 Posts: 11 Thanks: 0  Solving Indefinite Integral?
Hi guys, I was wondering how would you solve this equation: I can already tell by usubs it won't work and I don't remember learning how to solve problems like these in my calc homework or class. I don't want an answer but can you give me a clue on how to solve a problem like this? I'd like to be able to know the concept well (: Thank you! 
November 28th, 2011, 08:00 PM  #2 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs  Re: Solving Indefinite Integral?
We are given: Let: giving us: Now the integration will be straightforward. 
November 28th, 2011, 08:09 PM  #3  
Newbie Joined: Nov 2011 Posts: 11 Thanks: 0  Re: Solving Indefinite Integral? Quote:
Where did you get the from, Sir?  
November 28th, 2011, 08:12 PM  #4 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs  Re: Solving Indefinite Integral?
With solving for x gives: Then replace x with this expression. 
November 28th, 2011, 08:15 PM  #5  
Newbie Joined: Nov 2011 Posts: 11 Thanks: 0  Re: Solving Indefinite Integral? Quote:
Ah, Thanks. My TA never told us we could do that  I assumed he covered all the material on usub but I guess I was wrong. Thanks, Mark. (:  
November 28th, 2011, 08:20 PM  #6 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs  Re: Solving Indefinite Integral?
Glad to help, and welcome to the forum! 
November 28th, 2011, 08:22 PM  #7 
Newbie Joined: Nov 2011 Posts: 11 Thanks: 0  Re: Solving Indefinite Integral?
Thanks ! I just hope I won't have a problem like this on my test this weekend, haha. Wouldn't have thought of it this way at all xD. 
November 28th, 2011, 08:30 PM  #8 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs  Re: Solving Indefinite Integral?
Here's a slightly different way to look at it... You have that x there and it needs to be replaced by an expression containing u, and you have said to let u = 2x  1, so transform it like: 
November 29th, 2011, 06:28 AM  #9 
Global Moderator Joined: Dec 2006 Posts: 20,753 Thanks: 2136 
Alternatively, use integration by parts (if familiar with that method).

November 29th, 2011, 08:47 AM  #10  
Math Team Joined: Dec 2006 From: Lexington, MA Posts: 3,267 Thanks: 408  Re: Solving Indefinite Integral? Hello, Jpyo! Another approach . . . Quote: If the expression under the radical is linear, [color=beige]. . [/color]we can let equal the entire radical. [color=beige]. . . . . . . .[/color] [color=beige]. . . . . . . . . . . . [/color] [color=beige]. . . . . . . . . . . . [/color]  

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