$\"\"$

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The integral is $\"\"$ .

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Factorize the denominator.

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$\"\"$

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Partial fraction decomposition of $\"\"$ .

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$\"\"$

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Equate $\"\"$ coefficients.

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$\"\"$

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Equate constant terms.

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$\"\"$ .

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Substitute $\"\"$ in above expression.

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$\"\"$

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$ .

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Substitute $\"\"$ and $\"\"$ in equation (1).

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$\"\"$ .

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$\"\"$

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$\"\"$ .

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Apply formula $\"\"$

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$\"\"$

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Apply quotient rule in logarithms $\"\"$ .

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$\"\"$

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$\"\"$ .

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$\"\"$

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$\"\"$ .