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Emineyy

  • 2 years ago

Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. g(s)= integral 2 to s (t-t^3)^5

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  1. anonymous
    • 2 years ago
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    the derivative of the integral is the integrand replace \(t\) by \(s\) in the integrand and you are done

  2. anonymous
    • 2 years ago
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    this is much much easier than it seems

  3. Dido525
    • 2 years ago
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    The fundamental theorem basically says that when you have an integral going from a number to some variable, we substitute that variable for the inside and multiply by it's derivative.

  4. Dido525
    • 2 years ago
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    In this case the derivative of s is just 1 so we can disregard that.

  5. anonymous
    • 2 years ago
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    for example, the derivative of \[\int_2^x\frac{t^2+2}{t-1}dt\] is \[=\frac{x^2+2}{x-1}\]

  6. Dido525
    • 2 years ago
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    ^ Yeah that's good.

  7. Emineyy
    • 2 years ago
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    thanks...d

  8. Dido525
    • 2 years ago
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    No problem :) .

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