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

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

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f^{''}(x)= 6/x

f^{^{''}} (x) = \frac{6}{x}

f (x) = 6 (x ln (x) - x) + c_{1} x + c_{2}

Solution steps

f^{''} (x) = \frac{6}{x}

Solve

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

Solve

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

f (x) = 6 (x ln (x) - x) + c_{1} x + c_{2}

x \to 0 lim (1 - 2 sin^{2} (\frac{x}{2}))

x \to 1 + lim (2 x - 2 - 2)

\int \frac{6 x + 5}{3 x ^{2} + 5 x} d x

\int_{3}^{5} \frac{1}{x ^{2} - 9} d x

f (x) = (x^{3} - 10 x) (3 x^{2} + 4 x)

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