Fundamental Theorem of Calculus

**RezMan** · June 3rd 2011, 09:16 PM

can you guys help me with this:

Use FTC to find the derivative of h(u) = $\int^{2u}_{0} cos^5t\,dt$ , justifying your reasoning.

would this be correct:
$\frac{d}{du}\int^{2u}_{0} cos^5t\,dt$ n=2u
$(\frac{d}{dn} \int^{n}_{0} cos^5t\,dt)*(\frac{dn}{du})$
$(cos^5(n))*\frac{dn}{du})$
$cos^5(2u)*\frac{d(2u)}{du}$
$2cos^5(2u)$

any truth to this?

**TheEmptySet** · June 3rd 2011, 09:18 PM

yes that is correct.

Thread: Fundamental Theorem of Calculus

LinkBack

Thread Tools

Display

Fundamental Theorem of Calculus

Similar Math Help Forum Discussions

Using the Fundamental Theorem of Calculus...

fundamental theorem of calculus

The Fundamental Theorem of Calculus

Fundamental Theorem of Calculus

Fundamental Theorem of calculus & Estimation Theorem