EEMajor12 3 years ago Solve using integrals.

1. mathhasproblems

Solve what?

2. EEMajor12

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3. commdoc

$f \prime= dy/dx = 3x^{2}+2/x^2-1$ 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. commdoc

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

5. robtobey

@commdoc's solution looks OK.

6. EEMajor12

Thanks for the help guys!