(a) Evaluate $\iint_{R} x^{2} d x d y$ where $R$ is the two-dimensional region bounded by the curve $y=x$ and $y=x^{2}$.

Explanation

To evaluate the given double integral, we need to find the limits of integration and then evaluate the inner integral. We then need to evaluate the outer integral to get the final answer.

(a) Evaluate $\iint_{R} x^{2} d x d y$ where $R$ is the two-dimensional region bounded by the curve $y=x$ and $y=x^{2}$.

Explanation

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