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If [a] denotes the greatest integer less than or equal to a for $$a \in R$$, then the value of the integral
$$\int_{0}^{1.7} [x^2] dx$$ is equal to
$$2.4 + \sqrt{2}$$
$$2.4 - \sqrt{2}$$
$$2.4 + \frac{1}{\sqrt{2}}$$
$$2.4 - \frac{1}{\sqrt{2}}$$
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