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anonymous
 4 years ago
Solve using integrals.
anonymous
 4 years ago
Solve using integrals.

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anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0dw:1327864917861:dw

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0\[f \prime= dy/dx = 3x^{2}+2/x^21\] then separate the variables so that \[\int\limits_{?}^{?}dy = \int\limits_{?}^{?}(3x^2+2/x^2 1)dx\] then integrate and obtain \[y = x^{3}2/x x +c\] substitute in the f(1) = 3 \[3 = 1^{3}2/1 1 +c\] so c = 5 then\[f(x) = x^{3}2/x x +5 \] \[f(2) = 2^3 2/2 2 +5 = 10\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0check answer by taking derivative of f(x) to be sure

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0@commdoc's solution looks OK.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Thanks for the help guys!
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