Math Question
![Let \( f \) be the function defined by \( f(x)=\sin \left(\frac{\pi}{2} x\right) \). What is the average value of \( f \) on the interval \( \left[\frac{2}{3}, \frac{4}{3}\right] \) written in simplest form?](https://d3hlidq5bf9vg0.cloudfront.net/app-server-student/2022/4/3/d8b689dd-eb46-4d3e-9899-e621fc6153bf.png "Let \( f \) be the function defined by \( f(x)=\sin \left(\frac{\pi}{2} x\right) \). What is the average value of \( f \) on the interval \( \left[\frac{2}{3}, \frac{4}{3}\right] \) written in simplest form?")
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