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## anonymous 4 years ago Solve using integrals.

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1. anonymous

Solve what?

2. anonymous

|dw:1327864917861:dw|

3. anonymous

$f \prime= dy/dx = 3x^{2}+2/x^2-1$ 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$f(x) = x^{3}-2/x -x +5$ $f(2) = 2^3 -2/2 -2 +5 = 10$

4. anonymous

check answer by taking derivative of f(x) to be sure

5. anonymous

@commdoc's solution looks OK.

6. anonymous

Thanks for the help guys!

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