$\"\"$

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The integral is $\"\"$ .

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Trigonometric identity: $\"\"$ .

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$\"\"$

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Consider $\"\"$ .

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Integration by parts formula: $\"\"$ .

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Assume $\"\"$ and $\"\"$ .

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Integrate $\"\"$ to find $\"\"$ .

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$\"\"$

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Consider $\"\"$ .

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Differentiate on each side.

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$\"\"$ .

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Substitute corresponding values in the formula.

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$\"\"$

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Substitute the above result in equation $\"\"$ .

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$\"\"$ .

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$\"\"$

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$\"\"$ .