[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

Re: [Help] problem with antiderivatives and substitution

For the first one, I would write the result as:

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

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.

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 :)

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:

$\displaystyle \ln(x^2)-\frac{2}{x}+C$

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)

Re: [Help] problem with antiderivatives and substitution

hi guys ,, can someone help me to solve my problem in substitution?