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Step 1 :

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The expression is $\"\"$

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Rewrite the expression :

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$\"\"$

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Let $\"\"$ then $\"\"$

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

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$\"\"$

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Step 2 :

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Write the expression $\"\"$ in partial fraction.

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$\"\"$

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Compare the numerators.

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$\"\"$

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Equate u coefficients and equate constants.

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$\"\"$

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Multiply equation (1) by 2 and then subtract two equations.

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$\"\"$

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Substitute $\"\"$ in equation 2.

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$\"\"$

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Substitute $\"\"$ in equation 2.

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$\"\"$

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

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$\"\"$

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Apply integration with respect u in each side.

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$\"\"$

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Step 3 :

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Simplification :

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$\"\"$

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Use the formula : $\"\"$

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$\"\"$

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

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The value of the integration :

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$\"\"$

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Solution :

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$\"\"$