Find the derivative of

h(x) = integral(sin(x) at the top and -5 at the bottom) of

cos(t^5) +t

So... here's what I thought the answer should be, but I'm evidently missing something, again.

My plan of attack is to insert sin(x) for t and then subtract the function with -5 inserted for t:

cos(sin^5(x)) + sin(x) - (cos((-5)^5) - 5)

I'm getting told this is incorrect. Any glaring mistakes? I've been doing this for several hours, so I may have gone mentally blind.

Thanks!