$\"\"$

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The integral is $\"\"$ .

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Conisder $\"\"$ .

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Substitute $\"\"$ in the integral.

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$\"\"$

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If $\"\"$ then $\"\"$ is divergent.

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$\"\"$

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Consider $\"\"$ .

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

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$\"\"$

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

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$\"\"$

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If $\"\"$ then $\"\"$ is divergent.

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$\"\"$

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Consider $\"\"$ .

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

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$\"\"$

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

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$\"\"$

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If $\"\"$ then $\"\"$ is convergent.

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$\"\"$

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If $\"\"$ then $\"\"$ is divergent.

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If $\"\"$ then $\"\"$ is divergent.

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If $\"\"$ then $\"\"$ is convergent.