$\"\"$

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The integral is $\"\"$ .

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Definition of an improper integral :

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If $\"\"$ exists for every number $\"\"$ , then $\"\"$ provoded this limit exists (as a finite number).

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The function intervals is undefined $\"\"$ , so the function is countinous on $\"\"$ .

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Consider $\"\"$ .

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$\"\"$

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Let $\"\"$ and $\"\"$ .

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$\"\"$

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Consider $\"\"$ .

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Rewrite the integral as $\"\"$ .

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$\"\"$

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$\"\"$

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Consider $\"\"$ .

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Rewrite the integral is $\"\"$ .

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$\"\"$

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Substitute $\"\"$ and $\"\"$ values in equation $\"\"$ .

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$\"\"$

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Since $\"\"$ (infinite value), the integral is divergent.

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$\"\"$

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The integral is divergent and the value is $\"\"$ .