# Math Help - Fundamental Theorem of Calculus

1. ## Fundamental Theorem of Calculus

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?

2. yes that is correct.