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22. DETAILS Integration by Substitution. The rate of growth of Grass carp, one of the most common type of fish, was modelled by the equation

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22. DETAILS Integration by Substitution. The rate of growth of Grass carp, one of the most common type of fish, was modelled by the equation 4x + 8 f(t) = x2 + 4x + 4 where t is measured in years and A(t) in kilograms per year. Consider the integral 4x + 8 dx x2 + 4x + 4 After substitution into u, the new integral can be written (a) The value of A is O 4x Ox+2 Ox O 4x + 2 O 2 Oo O 8 0 4

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