What is the solution for f^{'''}(x)=6(x^{-2}) ?

The solution for f^{'''}(x)=6(x^{-2}) is f(x)=-6(xln(x)-x)+(c_{1}x^2)/2+c_{2}x+c_{3}

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f^{'''}(x)=6(x^{-2})

f^{^{'''}} (x) = 6 (x^{- 2})

f (x) = - 6 (x ln (x) - x) + \frac{c _{1} x ^{2}}{2} + c_{2} x + c_{3}

Solution steps

f^{'''} (x) = 6 (x^{- 2})

Solve

f^{'''} (x) = 6 x^{- 2} : f^{''} (x) = - \frac{6}{x} + c_{1}

Solve

f^{''} (x) = - \frac{6}{x} + c_{1} : f^{'} (x) = - 6 ln (x) + c_{1} x + c_{2}

Solve

f^{'} (x) = - 6 ln (x) + c_{1} x + c_{2} : f (x) = - 6 (x ln (x) - x) + \frac{c _{1} x ^{2}}{2} + c_{2} x + c_{3}

f (x) = - 6 (x ln (x) - x) + \frac{c _{1} x ^{2}}{2} + c_{2} x + c_{3}

What is the solution for f^{'''}(x)=6(x^{-2}) ?
The solution for f^{'''}(x)=6(x^{-2}) is f(x)=-6(xln(x)-x)+(c_{1}x^2)/2+c_{2}x+c_{3}