$\"\"$

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The female population is related to time $\"\"$ by $\"\"$ .

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Substitute $\"\"$ .

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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 the coefficients of $\"\"$ and constants.

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$\"\"$

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$\"\"$

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

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$\"\"$

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$\"\"$

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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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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$

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$\"\"$

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Find the value of $\"\"$ when $\"\"$ .

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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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$\"\"$ , where $\"\"$ .