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Math Help - Find a value for parameter...

  1. #1
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    Find a value for parameter...

    Find a value for the parameter a that makes the value of the following improper integral less than 0.0001

    ∫ x^2*e^(-x^3)
    a

    Somebody can help me ?
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  2. #2
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    Quote Originally Posted by VinhT View Post
    Find a value for the parameter a that makes the value of the following improper integral less than 0.0001

    ∫ x^2*e^(-x^3)
    a

    Somebody can help me ?
    I presume you mean \int_a^\infty x^2 e^{-x^3}dx (The "dx" is important.)

    Use the substitution u= x^3 to integrate, getting a result that depends on a. Set that equal to 0.0001 and solve for a.
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