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Homework Help: Hint for an integral

  1. Dec 16, 2006 #1

    ddr

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    1. The problem statement, all variables and given/known data

    ∫(√(3 - x^2), x, 0, 3/2)

    the integral of √(3 - x^2) with 0 extr inf and 3/2 extr sup

    2. Relevant equations



    3. The attempt at a solution

    i have to use the subsitution rule, i thought x= (1/√3) sin t
    any other hint?

    thanx
     
  2. jcsd
  3. Dec 16, 2006 #2

    AlephZero

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    Science Advisor
    Homework Helper

    "i thought x= (1/√3) sin t"

    Just thinking about it won't get you very far!

    Try it. If it works, you are done. If it doesn't work, then think again.
     
  4. Dec 19, 2006 #3
    Hi ddr,

    The substitution should be x= √3 sin t instead. Then, dx = √3 cos t dt. Remember to change the limits for the trigo substitution. Use your trigo identities to evaluate the final integral.

    Hope that helps.
     
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