fundamental theorem

**waite3** · January 23rd 2008, 09:43 AM

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

**TKHunny** · January 23rd 2008, 10:18 AM

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.

**topsquark** · January 23rd 2008, 10:18 AM

Originally Posted by waite3

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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