$\"\"$

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The function $\"\"$ on interval $\"\"$ .

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Average value of the function $\"\"$ on $\"\"$ is defined as $\"\"$ .

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In this case $\"\"$ and $\"\"$ .

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Average value of $\"\"$ .

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$\"\"$

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Average value is $\"\"$ .

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$\"\"$

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Equate the function to its average value.

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$\"\"$ .

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The general solution of sine function is $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$ is not in the interval.

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$\"\"$ .

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$\"\"$

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Average value is $\"\"$ .

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$\"\"$ .