3.87: Find $f(x)$ from a derivative and a point

A curve with equation $y = \mathrm{f}(x)$ is such that $\dfrac{\mathrm{d}^{2}y}{\mathrm{d}x^{2}} = 6\mathrm{e}^{3x} + 4x$. The curve has a gradient of 5 at the point $\left(0, \dfrac{5}{3}\right)$. Find $\mathrm{f}(x)$.