Hi guys I'm doing my homework and I've run into a couple problems that I don't quite understand, and the textbook doesn't give me much information to form an intuitive understanding of what's going on here so I don't know where to begin.

The question is of the form:

Using the fundamental theorem of calculus part I, find the derivative:

**f(x) = (from cos x to x^5) ∫ sin(u) du**

Initially I thought perhaps I'm supposed to split the integral into two parts with a constant going to the respective x function, and then solve each part accordingly, but since cos x and x^5 are variable I don't see how to determine a point to separate them at which makes me think my approach is wrong. Any insight would be greatly appreciated, thanks

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