What is the solution for f^{''}(x)=4x^2+8x-17 ?

The solution for f^{''}(x)=4x^2+8x-17 is f(x)=(x^4)/3+(4x^3)/3-(17x^2)/2+c_{1}x+c_{2}

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f^{''}(x)=4x^2+8x-17

f^{^{''}} (x) = 4 x^{2} + 8 x - 17

f (x) = \frac{x ^{4}}{3} + \frac{4 x ^{3}}{3} - \frac{17 x ^{2}}{2} + c_{1} x + c_{2}

Solution steps

f^{''} (x) = 4 x^{2} + 8 x - 17

Solve

f^{''} (x) = 4 x^{2} + 8 x - 17 : f^{'} (x) = \frac{4 x ^{3}}{3} + 4 x^{2} - 17 x + c_{1}

Solve

f^{'} (x) = \frac{4 x ^{3}}{3} + 4 x^{2} - 17 x + c_{1} : f (x) = \frac{x ^{4}}{3} + \frac{4 x ^{3}}{3} - \frac{17 x ^{2}}{2} + c_{1} x + c_{2}

f (x) = \frac{x ^{4}}{3} + \frac{4 x ^{3}}{3} - \frac{17 x ^{2}}{2} + c_{1} x + c_{2}

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What is the solution for f^{''}(x)=4x^2+8x-17 ?
The solution for f^{''}(x)=4x^2+8x-17 is f(x)=(x^4)/3+(4x^3)/3-(17x^2)/2+c_{1}x+c_{2}