January 31st, 2019, 04:10 AM  #1 
Member Joined: Apr 2017 From: India Posts: 64 Thanks: 0  Integration
Integrate the function in the attachment.

January 31st, 2019, 04:20 AM  #2 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,660 Thanks: 2635 Math Focus: Mainly analysis and algebra 
Are you giving instructions or asking for help? If you want help, I suggest that you say what is giving you trouble with this integral. It has come to your attention in some context, presumably a class  so I would suggest trying to apply the lessons of that class to this problem. If you get stuck, you can always post your work as you did the question, and ask for help. 
January 31st, 2019, 04:31 AM  #3 
Senior Member Joined: Dec 2015 From: somewhere Posts: 514 Thanks: 80 
Substitute $\displaystyle x=a\sin(t)$.
Last edited by skipjack; January 31st, 2019 at 05:24 AM. 
January 31st, 2019, 05:32 AM  #4 
Global Moderator Joined: Dec 2006 Posts: 20,645 Thanks: 2084  
January 31st, 2019, 05:32 AM  #5  
Member Joined: Apr 2017 From: India Posts: 64 Thanks: 0  Quote:
 
January 31st, 2019, 06:30 AM  #6 
Global Moderator Joined: Dec 2006 Posts: 20,645 Thanks: 2084 
It's a standard problem (one that can be done by use of the methods given in a typical introductory calculus textbook), but you shouldn't be expected to do it without first having learnt how to use a trigonometric substitution for an easier integral. Can you try the suggested substitution and then let us know what progress you were able to make? 

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