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Math Help - Calc 2 Help, several problems!

  1. #1
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    Calc 2 Help, several problems!

    So I am stuck on several problems, I assume they are all solved the same way or roughly the same way but I dont know where to go.
    I am pretty good with my integration, and even basic integration by parts, but this stuff has me stumped.

    Any help is greatly appreciated.

    Thanks

    I know for the most part they are all integration by parts, just not sure what parts to choose.

    1) ∫(e^1/x)/x^2

    2) ∫x^4lnx

    3) ∫x^2e^x^3

    4) ∫1/x(lnx)^3

    5) ∫x^3e^x^2/(X^2+1)^2

    6) ∫ln2x/x^2

    7) ∫e^2xsinx



    I know its alot, but any help is greatly appreciated.
    Classes start next week and I am trying to freshen up my skills.
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  2. #2
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    Quote Originally Posted by Spoolx View Post
    So I am stuck on several problems, I assume they are all solved the same way or roughly the same way but I dont know where to go.
    I am pretty good with my integration, and even basic integration by parts, but this stuff has me stumped.

    Any help is greatly appreciated.

    Thanks

    I know for the most part they are all integration by parts, just not sure what parts to choose.

    1) ∫(e^1/x)/x^2

    2) ∫x^4lnx

    3) ∫x^2e^x^3

    4) ∫1/x(lnx)^3

    5) ∫x^3e^x^2/(X^2+1)^2

    6) ∫ln2x/x^2

    7) ∫e^2xsinx



    I know its alot, but any help is greatly appreciated.
    Classes start next week and I am trying to freshen up my skills.
    Please don't post more than two questions in a thread. Otherwise the thread can get convoluted and difficult to follow. See rule #8: http://www.mathhelpforum.com/math-he...ng-151418.html.

    Also, please show some effort. You must have some ideas .... Post what you can do or have tried and make it clear where you get stuck.

    I will answer the first by saying that you make the substitution u = 1/x. In fact, several of them are done using the method commonly called u-substitution. I suggest you review class notes or textbook. Ideally, when/if you re-post in the way advised in the above link, you will at least group them in threads according to what you think will be the required technique.
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