$\"\"$

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The integral is $\"\"$ .

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Partial fractions decomposition:

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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Equate coefficients of $\"\"$ terms.

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$\"\"$

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$\"\"$ .

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Equate coefficients of $\"\"$ terms.

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$\"\"$

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$\"\"$ .

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Equate coefficients of $\"\"$ terms.

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$\"\"$

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Substitute $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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

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$\"\"$

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$\"\"$ .

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Equate constant terms.

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$\"\"$

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Substitute $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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

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$\"\"$

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$\"\"$ .

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$\"\"$

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Substitute $\"\"$ , $\"\"$ , $\"\"$ and $\"\"$ in $\"\"$ . $\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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Apply General power rule for integration: $\"\"$ .

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Apply formula: $\"\"$ .

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$\"\"$ .

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$\"\"$ .

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$\"\"$

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$\"\"$ .