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  1. #1
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    fundamental theorem

    the integral from 3 to 5 of (d/dt(Sqrt(2+1t^4)))dt using the fundamental theorem of calculus.thanks for any help
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  2. #2
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    Do you actually mean:

    \int\left(\frac{d}{dt}\sqrt{2+t^{4}}\right)\;dt?

    Wouldn't that be \sqrt{2+t^{4}}\;+\;C?

    That should strike you as a definition of an antiderivative.
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  3. #3
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    Quote Originally Posted by waite3 View Post
    the integral from 3 to 5 of (d/dt(Sqrt(2+1t^4)))dt using the fundamental theorem of calculus.thanks for any help
    \int_3^5 \frac{d}{dt} \sqrt{2 + t^4} ~dt = \sqrt{2 + 5^4} - \sqrt{2 + 3^4}

    -Dan
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