$\"\"$

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The integral is $\"\"$ .

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Consider $\"\"$ .

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Apply derivative on each side with respect to $\"\"$ .

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$\"\"$

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$\"\"$ .

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If $\"\"$ then $\"\"$ .

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If $\"\"$ then $\"\"$ .

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Substitute $\"\"$ and $\"\"$ in $\"\"$ .

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$\"\"$

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Apply trigonometric identity : $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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The function $\"\"$ is an even function and symmetric about $\"\"$ -axis.

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$\"\"$ .

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Therefore, the statement is rue.

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$\"\"$

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The statement is true.