Partial Dervative of a Integral

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Victor8108
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Hi all, I'm trying to figure out the following problem:

Find df/dx, f(x,y)=integral of sqrt(1-t^3)dt from x^2 to x^3.

Since it is asking to find the derivative with respect to x,should I regard t as a constant?
 
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Figured I should probably post this in the homework section. Sorry about that.