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Math Help - Stuck on an integral!

  1. #1
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    Question Stuck on an integral!

     \int \sqrt(6x-x^2)

    I don't know how to go about this one!
    Lately we have been looking at integration with partial fractions, and integration using trig replacment but I can't see either working! Advice?
    *the whole equation is under the square root*

    - Thank You
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  2. #2
    Math Engineering Student
    Krizalid's Avatar
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    Santiago, Chile
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    6x-x^2=-(x^2-6x)=9-(x^2-6x+9)=9-(x-3)^2, then put x-3=3\sin\varphi.
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  3. #3
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    Brilliant ty ty!!
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