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anonymous

  • 4 years ago

If m ≤ f(x) ≤ M for a ≤ x ≤ b, where m is the absolute minimum and M is the absolute maximum of f on the interval [a, b], then

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  1. anonymous
    • 4 years ago
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    \[m(b-a) \le \int\limits_{a}^{b} f(x) dx \le M(b-a)\]

  2. anonymous
    • 4 years ago
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    Estimate the smallest and largest value for \[\int\limits_{5\pi}^{6\pi} (5x - 10sinx) dx\]

  3. anonymous
    • 4 years ago
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    f(x)=(5/2 (x^2+4 cos(x)) you just need to substitute the 6pi in to x and 5pi, then do f(6pi)-f(5pi)

  4. anonymous
    • 4 years ago
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    but wouldn't subtracting 6pi and 5pi give u the area?

  5. anonymous
    • 4 years ago
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    how do you determine the max and min?

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