(Solved): What is the Riemann sum to find an expression as a limit for the area under t ...

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What is the Riemann sum to find an expression as a limit for the area under the graph of \( f(x)=\sqrt{\sin x}, 0 \leq x \leq \pi \). Do not evaluate the limit. \[ A=\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \sqrt{\sin \left(\frac{i}{n}\right)} \cdot \frac{i}{n} \] \[ A=\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \sqrt{\sin \left(\frac{i}{n}\right)} \cdot \frac{1}{n} \] \[ A=\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \sqrt{\sin \left(\frac{\pi i}{n}\right)} \cdot \frac{\pi}{n} \] \[ A=\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \sqrt{\sin \left(\frac{\pi}{n}\right)} \cdot \frac{i}{n} \]