Answer
$47\frac{1}{16}$
Work Step by Step
Integrate with respect to x and plug in limits to evaluate:
$=x^3-x^4/16$ with limits from 1 to 4
$=4^3-4^4/16-1^3+1^4/16=64-16-1+1/16=47\frac{1}{16}$
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