$\"\"$

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The curve equation is $\"\"$ .

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Area of the region:

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If $\"\"$ is continuous and non-negative on the closed interval $\"\"$ ,

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then the area of the region bounded by the graph $\"\"$ , the $\"\"$ -axis and the vertical lines $\"\"$ and $\"\"$ is given by

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Area $\"\"$ .

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$\"\"$

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$\"\"$

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Solve the above integral by using partial fractions.

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$\"\"$

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$\"\"$

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Equate $\"\"$ coefficients, $\"\"$ coefficients and equate constants.

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$\"\"$

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$\"\"$

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$\"\"$

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

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$\"\"$ .

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

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$\"\"$

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Partial decomposition of $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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Apply the formula: $\"\"$ .

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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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$\"\"$ .

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$\"\"$

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Area is $\"\"$ .