Question

what are all values of k for which the intergal 2 to k x^2(dx)=0

Answer 1

\[\begin{align*}\int_2^k x^2~dx&=0\\
\frac{1}{3}\left[x^3\right]_2^k&=0\\
k^3-2^3&=0\\
k^3&=2^3
\end{align*}\]
Which values of \(k\) satisfy this?