$\"\"$

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The integral is $\"\"$ .

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$\"\"$ .

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$\"\"$ .

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Partial fraction decomposition.

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$\"\"$

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By solving this system conclude that $\"\"$ .

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$\"\"$

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$\"\"$

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Consider $\"\"$ .

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Apply the formula ; $\"\"$ .

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$\"\"$

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Consider $\"\"$ .

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$\"\"$

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Apply the formula $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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Since the limit is exist, it is convergent.

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$\"\"$

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The integral is convergent.