Evaluate
kx+4x+\frac{4x}{k}+С
Differentiate w.r.t. x
\frac{\left(k+2\right)^{2}}{k}
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\frac{\left(k+2\right)^{2}}{k}x
Find the integral of \frac{\left(k+2\right)^{2}}{k} using the table of common integrals rule \int a\mathrm{d}x=ax.
\frac{\left(k+2\right)^{2}x}{k}
Simplify.
\frac{\left(k+2\right)^{2}x}{k}+С
If F\left(x\right) is an antiderivative of f\left(x\right), then the set of all antiderivatives of f\left(x\right) is given by F\left(x\right)+C. Therefore, add the constant of integration C\in \mathrm{R} to the result.
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