What is the solution for f^{''}(x)=6x+12x^2 ?

The solution for f^{''}(x)=6x+12x^2 is f(x)=x^3+x^4+c_{1}x+c_{2}

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f^{''}(x)=6x+12x^2

f^{^{''}} (x) = 6 x + 12 x^{2}

f (x) = x^{3} + x^{4} + c_{1} x + c_{2}

Solution steps

f^{''} (x) = 6 x + 12 x^{2}

Solve

f^{''} (x) = 6 x + 12 x^{2} : f^{'} (x) = 3 x^{2} + 4 x^{3} + c_{1}

Solve

f^{'} (x) = 3 x^{2} + 4 x^{3} + c_{1} : f (x) = x^{3} + x^{4} + c_{1} x + c_{2}

f (x) = x^{3} + x^{4} + c_{1} x + c_{2}

\int \frac{ln ( 19 x )}{x} d x

\frac{\partial}{\partial x} (5 x^{2} y - 1)

f (x) = \frac{- 4 x}{x ^{2} + 1}, (1, 2)

\int \frac{3}{2 x - 1} d x

y^{^{''}} + 4 y = 8 t^{2} - 20 t + 8

What is the solution for f^{''}(x)=6x+12x^2 ?
The solution for f^{''}(x)=6x+12x^2 is f(x)=x^3+x^4+c_{1}x+c_{2}