# fundamental theorem

• Jan 23rd 2008, 09:43 AM
waite3
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
• Jan 23rd 2008, 10:18 AM
topsquark
Quote:

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
• Jan 23rd 2008, 10:18 AM
TKHunny
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.