Now, we know that $0 \leq \sin^2(x) \leq 1$ for all $x$.
So, we can compare the given integral to the integral of a constant function, $1$, over the same interval:
$$\int_{2}^{3} 0 dx \leq \int_{2}^{3} \sin^2(x) dx \leq \int_{2}^{3} 1 dx$$
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