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January 31st, 2019, 04:10 AM   #1
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Integration

Integrate the function in the attachment.
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 20190131_183025.jpg (98.9 KB, 13 views)

 January 31st, 2019, 04:20 AM #2 Math Team   Joined: Dec 2013 From: Colombia Posts: 7,674 Thanks: 2654 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: 600 Thanks: 87 Substitute $\displaystyle x=a\sin(t)$. Thanks from shashank dwivedi Last edited by skipjack; January 31st, 2019 at 05:24 AM.
January 31st, 2019, 05:32 AM   #4
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Quote:
 Originally Posted by shashank dwivedi . . . in the attachment.
It's easier to type it than to use an attachment. Your writing is hard to read.

For example:$\displaystyle \int(a^2 - x^2)^{3/2}dx$

January 31st, 2019, 05:32 AM   #5
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Quote:
 Originally Posted by v8archie 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.
Obviously, I was asking for help. However, if it didn't seem like that, I apologize.

 January 31st, 2019, 06:30 AM #6 Global Moderator   Joined: Dec 2006 Posts: 20,927 Thanks: 2205 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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