$\"\"$

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The integral is $\"\"$ .

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Find the values of $\"\"$ at which the integral converges.

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$\"\"$

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$\"\"$

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$\"\"$

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Limit exist if and only if term inside logarithm $\"\"$ .

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$\"\"$

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$\"\"$ only when $\"\"$ .

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Since $\"\"$ produces $\"\"$ .

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Since $\"\"$ produces $\"\"$ .

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Thus, integral converges for $\"\"$ .

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$\"\"$

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Find the integral for $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$

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Integral converges for $\"\"$ .

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$\"\"$ .