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The value (up to two decimal places) of a line integral $\int_C \overrightarrow{F}(\overrightarrow{r}) .  d\overrightarrow{r}$, for $ \overrightarrow{F}(\overrightarrow{r}) = x^2 \hat{i} + y^2 \hat{j} $ along $C$ which is a straight line joining $(0, 0)$ to $(1, 1)$ is _________
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