Linear factors : For each factor of the form (px + q )^m, The partial fraction decomposition must include the following sum of m fractions.

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$\"\"$ .

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To find the $\"\"$ , first decompose the improper fraction $\"\"$ into partial fractions.

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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To solve for $\"\"$ , let $\"\"$ .

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$\"\"$ .

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To solve for $\"\"$ , let $\"\"$ .

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Substitute the value $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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To solve for $\"\"$ , let $\"\"$ .

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Substitute the values $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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To solve for $\"\"$ , let $\"\"$ .

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Substitute the values $\"\"$ , $\"\"$ and $\"\"$ .

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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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$\"\"$ .

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Let, u = 3x + 4, du = 3 dx.

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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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$\"\"$

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Put, u = 3x + 4.

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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

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