What is the solution for derivative of y=(x^2+3x)^2 ?

The solution for derivative of y=(x^2+3x)^2 is y=(x^5)/5+(3x^4)/2+3x^3+c_{1}

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derivative of y=(x^2+3x)^2

\frac{d}{d x} y = (x^{2} + 3 x)^{2}

y = \frac{x ^{5}}{5} + \frac{3 x ^{4}}{2} + 3 x^{3} + c_{1}

Solution steps

\frac{d y}{d x} = (x^{2} + 3 x)^{2}

f^{^{'}} (x) = g (x)

then

f (x) = \int g (x) d x

y = \int (x^{2} + 3 x)^{2} d x

\int (x^{2} + 3 x)^{2} d x = \frac{x ^{5}}{5} + \frac{3 x ^{4}}{2} + 3 x^{3} + c_{1}

y = \frac{x ^{5}}{5} + \frac{3 x ^{4}}{2} + 3 x^{3} + c_{1}

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What is the solution for derivative of y=(x^2+3x)^2 ?
The solution for derivative of y=(x^2+3x)^2 is y=(x^5)/5+(3x^4)/2+3x^3+c_{1}