# Calc2.13

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Find the derivative of $f(x)\,$ with respect to $x\,$: $f(x)=\int _{{5}}^{{x}}27t^{t}\sin(t-1)\,dt\,$
Again, this problem uses the Second Fundamental Theorem of Calculus. Since the function is just an integral from a constant to $x\,$, all we do to take the derivative with respect to $x\,$ is plug $x\,$ into the inner function, $f(t)\,$. The fact that the function is so complicated does not change things.
$f'(x)=27x^{x}\sin(x-1)\,$