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Math Help - Improper integral 3

  1. #1
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    Improper integral 3

    Hey.
    I'm kinda stuck on this one, any idea?
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  2. #2
    MHF Contributor Mathstud28's Avatar
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    Quote Originally Posted by asi123 View Post
    Hey.
    I'm kinda stuck on this one, any idea?
    Just integrate it

    Let



    I noticed that it is dy dx, no matter switch the integration order, or just change the above accordingly.
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  3. #3
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by Mathstud28 View Post
    Just integrate it

    Let



    I noticed that it is dy dx, no matter switch the integration order, or just change the above accordingly.
    Or you could convert to polar. Its a bit easier:



    --Chris
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  4. #4
    MHF Contributor Mathstud28's Avatar
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    Quote Originally Posted by Chris L T521 View Post
    Or you could convert to polar. Its a bit easier:



    --Chris
    Now why would one want to do it the easy way?
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  5. #5
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by Mathstud28 View Post
    Now why would one want to do it the easy way?
    Hahaha. Don't worry. I usually do things the long and hard way, but when I'm in a hurry, I do it the quickest way possible...

    --Chris
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  6. #6
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    Quote Originally Posted by Chris L T521 View Post
    Or you could convert to polar. Its a bit easier:



    --Chris
    10x.

    I should also add the Jacobian, right?
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  7. #7
    MHF Contributor Mathstud28's Avatar
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    Quote Originally Posted by asi123 View Post
    10x.

    I should also add the Jacobian, right?
    He did, that is what the r in the numerator is
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  8. #8
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    Quote Originally Posted by Mathstud28 View Post
    He did, that is what the r in the numerator is
    Sorry, didnt see that.
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