$\"\"$

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The integral function is $\"\"$ .

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The value of the function is $\"\"$ , where $\"\"$ and $\"\"$ are continuous.

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Evaluate the integral using integration by parts.

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

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

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Consider $\"\"$ .

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Differentiate on each side.

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$\"\"$ .

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$\"\"$ .

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Integrate on each side.

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$\"\"$

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$\"\"$ .

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Substitute the corresponding values in the formula.

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$\"\"$

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$\"\"$

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Consider $\"\"$ .

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

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Consider $\"\"$ .

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Differentiate on each side.

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$\"\"$ .

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$\"\"$ .

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Integrate on each side.

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$\"\"$

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$\"\"$ .

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Substitute the corresponding values in the formula.

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$\"\"$

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Substitute equation (2) in equation (1).

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$\"\"$

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$\"\"$

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Thus, $\"\"$ .

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$\"\"$

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$\"\"$ .