$\"\"$

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The integral is $\"\"$ .

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Consider $\"\"$ .

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Partial decomposition :

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$\"\"$ .

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$\"\"$

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$\"\"$ .

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Substitute $\"\"$ in the expression (2).

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$\"\"$

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$\"\"$ .

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Substitute $\"\"$ in the expression (2).

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$\"\"$

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Compare $\"\"$ coefficients in the expression (2).

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$\"\"$

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

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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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Find the integral value by using graphing utility.

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$\"\"$

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Observe the graph :

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$\"\"$ .

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$\"\"$

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$\"\"$ .