$\"\"$

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The integral is $\"\"$ .

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Solve the integral by using partial fractions.

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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Equate the $\"\"$ coefficients.

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$\"\"$

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Equate the constants.

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$\"\"$

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Add the equations (2) and (3).

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$\"\"$

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$\"\"$

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Substitute the value $\"\"$ in the equation (2).

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$\"\"$

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$\"\"$ .

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

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$\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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Consider $\"\"$ then $\"\"$ .

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Consider $\"\"$ then $\"\"$ .

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Substitute the corresponding values in the above equation.

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$\"\"$

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Substitute $\"\"$ and $\"\"$ in the above equation.

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$\"\"$ .

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$\"\"$ .

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$\"\"$

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$\"\"$ .