Answer
$3025$
Work Step by Step
The sum of the cubes of the first $n$ integers can be obtained by the following formula: $\frac{n^2(n+1)^2}{4}.$
Thus the sum:$\frac{10^2(10+1)^2}{4}=\frac{10^211^2}{4}=\frac{12100}{4}=3025$
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