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anonymous

  • one year ago

When F is defined for x ≥ −6 by F(x)= integral from -6 to x (6t^2+5t-1)/(3+4t^2) dt. determine the largest interval(s) on which F is decreasing.

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  1. anonymous
    • one year ago
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  2. freckles
    • one year ago
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    have you found F'(x)?

  3. anonymous
    • one year ago
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    no, going to do it now

  4. anonymous
    • one year ago
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    F'(x)= (6x^2+5x-1)/(3+4x^2)

  5. anonymous
    • one year ago
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    @freckles so how do I find where F(x) is increasing?

  6. freckles
    • one year ago
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    the function F is increasing when F' is positive

  7. freckles
    • one year ago
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    the function F is decreasing when F' is negative

  8. freckles
    • one year ago
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    solve the inequality \[\frac{6x^2+5x-1}{3+4x^2} <0\]

  9. anonymous
    • one year ago
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    got it, thank you

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