February 16th, 2008, 01:55 PM  #1 
Newbie Joined: Feb 2008 Posts: 13 Thanks: 0  Stuck on an Integration problem
I am not sure how to do this problem, here it is. int 1/sqrt((x6)(10x)) I think the answer is something with arcsine but I am not sure how to get it. 
February 16th, 2008, 04:04 PM  #2 
Global Moderator Joined: Dec 2006 Posts: 19,049 Thanks: 1618 
You're right: arcsin((x âˆ’ 8)/2) + C. Differentiate that to see why.

February 16th, 2008, 06:53 PM  #3 
Newbie Joined: Feb 2008 Posts: 13 Thanks: 0 
Ahhh, but what is the first step I should do to integrate?

February 16th, 2008, 07:54 PM  #4 
Global Moderator Joined: Dec 2006 Posts: 19,049 Thanks: 1618 
The first step is called "completing the square", but you wouldn't be asking about that if, as I suggested, you'd verified the answer by differentiating it.

February 16th, 2008, 08:28 PM  #5  
Senior Member Joined: Apr 2007 Posts: 2,140 Thanks: 0  Quote:
?? 1/?((x6)(10x)) dx = ? 1/?(2²  (x8)²) dx (? 1/?(a²  u²) du = arcsin(u/a) + C, in general) = arcsin((x  8)/2) + C Hence solved.  
February 17th, 2008, 07:30 AM  #6 
Newbie Joined: Feb 2008 Posts: 13 Thanks: 0 
Ooh that is really simple, I forgot about completing the square. Thanks 

Tags 
integration, problem, stuck 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
stuck on trig integration problem  acomber  Calculus  3  February 1st, 2012 11:56 AM 
Stuck on a problem  INEEDHELP1  Calculus  1  September 30th, 2010 07:03 PM 
Stuck on an integration problem  gar39  Calculus  6  August 30th, 2009 08:20 PM 
Integration..I am stuck here!  MathNoob  Calculus  4  February 28th, 2009 08:21 AM 
Stuck on this integration problem  Daenurc  Calculus  6  March 10th, 2007 05:28 PM 