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Math Help - Integration

  1. #1
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    Integration

    Hopefully, I attached the following problem.

    I let u.doc
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by kid funky fried View Post
    Hopefully, I attached the following problem.

    I let u.doc
    the answers are equivalent. you did nothing wrong.

    \frac 2{\sqrt{2}} = \sqrt{2}. then just distribute the minus sign
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  3. #3
    Super Member angel.white's Avatar
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    Quote Originally Posted by Jhevon View Post
    \frac 2{\sqrt{2}} = \sqrt{2}.
    Might help to think of it like this:
    \frac 2{\sqrt{2}}~~ = ~~\frac {2^1}{2^{1/2}} ~~= ~~2^{(1-1/2)}~~ = ~~2^{1/2}~~ =~~ \sqrt{2}
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  4. #4
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    Quote Originally Posted by angel.white View Post
    Might help to think of it like this:
    \frac 2{\sqrt{2}}~~ = ~~\frac {2^1}{2^{1/2}} ~~= ~~2^{(1-1/2)}~~ = ~~2^{1/2}~~ =~~ \sqrt{2}
    My preference \frac{2}{\sqrt{2}} = \frac{\sqrt{2} \times \sqrt{2}}{\sqrt{2}} and then cancel the obvious common factor.
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  5. #5
    Super Member angel.white's Avatar
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    Quote Originally Posted by mr fantastic View Post
    My preference \frac{2}{\sqrt{2}} = \frac{\sqrt{2} \times \sqrt{2}}{\sqrt{2}} and then cancel the obvious common factor.
    Thats another good way. I personally prefer to deal exclusively with fractions, I seem to see things quicker. And whenever I have to convert between fractions and crazy roots, I have to stop and think about it...

    Of course, Jhevon helped me out with that one. (the power is a flower and the roots go underground)
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  6. #6
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    thx for all your help.
    it seems when i looked at angel.white's reply i understood immediately.
    my wife, on the other hand, chose to do it like mr fantastic which took me about a minute to fully understand.
    thx again!
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