# [Help] problem with antiderivatives and substitution

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• Dec 16th 2012, 01:41 AM
agentedx44
[Help] problem with antiderivatives and substitution
hi guys Good day, please help me to solve my problem. This will be my reviewer in my prelims. i have an answer in antiderivatives but I am not sure. In substitution , I am having a hard time in solving that one problem. PLease show me your solution. thanks

ANTIDERIVATIVES
http://img6.uploadhouse.com/fileuplo...e192ed0656.jpg

SUBSTITUTION
http://img6.uploadhouse.com/fileuplo...50f75f9941.jpg
• Dec 16th 2012, 02:22 AM
MarkFL
Re: [Help] problem with antiderivatives and substitution
For the first one, I would write the result as:

$2\left(\ln|x|-\frac{1}{x} \right)+C$

The second integral is an elliptic integral. Are you sure it is copied correctly?

edit: a point that might coist you marks on an exam...you are omitting the differentials from your integrals.
• Dec 16th 2012, 02:43 AM
agentedx44
Re: [Help] problem with antiderivatives and substitution
yeah,, im very sure, i had copy it correctly. can you show me your solution to my first question? thanks :)
• Dec 16th 2012, 02:49 AM
MarkFL
Re: [Help] problem with antiderivatives and substitution
I wrote in my first post how I would express the anti-derivative. You could also write it as:

$\ln(x^2)-\frac{2}{x}+C$
• Dec 16th 2012, 04:04 AM
agentedx44
Re: [Help] problem with antiderivatives and substitution
i see,, i almost got the right answer. thanks MarkFL2.. anyone who can help me to solve my problem in integration by substitution. ?(Crying)
• Dec 17th 2012, 07:26 PM
agentedx44
Re: [Help] problem with antiderivatives and substitution
hi guys ,, can someone help me to solve my problem in substitution?