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Math Help - integration...

  1. #1
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    integration...

    Can I get some help with this integral?

    \int\frac{\sqrt{1-x}}{\sqrt{x}}~dx

    I have thought of integration by parts and substitution. Nothing seems to be clicking yet. I am thinking that I need to multiply this fraction by something but have no idea.
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  2. #2
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    Set x=\sin^2u
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  3. #3
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Possible actuary View Post
    Can I get some help with this integral?

    \int\frac{\sqrt{1-x}}{\sqrt{x}}~dx

    I have thought of integration by parts and substitution. Nothing seems to be clicking yet. I am thinking that I need to multiply this fraction by something but have no idea.
    this question was asked by another user and answered here.

    i believe the method was to use a u = \sqrt {x} substitution followed by a u = \sin \theta trig substitution. but Krizalid's method may be easier come to think of it
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  4. #4
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    Quote Originally Posted by Krizalid View Post
    Set x=\sin^2u
    That definately helped me out a lot. Thanks!
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  5. #5
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    Quote Originally Posted by Jhevon View Post
    this question was asked by another user and answered here.

    i believe the method was to use a u = \sqrt {x} substitution followed by a u = \sin \theta trig substitution. but Krizalid's method may be easier come to think of it
    How would you search for an integral that was solved before? I know that there is a search engine to use but how would you search for a specific integral?
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  6. #6
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    Probably Jhevon looked that thread time ago and remembered who answered it.

    This way it's easy to find known threads.
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  7. #7
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Possible actuary View Post
    How would you search for an integral that was solved before? I know that there is a search engine to use but how would you search for a specific integral?
    i believe you can type the LaTex code for the integral into the search bar and it will find it. however, it is usually easier to find a thread if you remember a phrased used in the thread.

    for this, i remember seeing this question a while back, so i estimated the date i saw it to minimize my search. i also remembered that i subscribed to the thread and that "trig substitution" was used. so i searched for "trig substitution" and browsed through only the threads that i was subscribed to around the date that i estimated the thread was psoted and found it
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