I.Give the definition of the indefinite integral, and describe the relation between it and the definite integral (i.e., the fundamental theorem of Calculus).

(13) A logistic population model with relative growth rate 0.1 per year and carrying capacity 50 thousand can be expressed by the differential equation =0.1P(1 - ), with P in thousands and t in years. Given that the initial population is 9 thousand. Find the population size after 20 years. (If you memorized the formula, then you need to derive it for this problem.)

題組內容

I.Give the definition of the indefinite integral, and describe the relation between it and the definite integral (i.e., the fundamental theorem of Calculus).

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