Indefinite Integrals

Let \(f(x)=\int \frac{d x}{x^{2 / 3}+2 x^{1 / 2}},\) be such that $f(0) = -26 + 24 \log_e(2)$. If $f(1) = a + b \log_e(3)$, where $a, b \in \mathbb{Z}$, then $a + b$ is equal to :