Let f, g:(0, ∞) → R be two functions defined by f(x)=∫_-x^x(|t|-t^2) e^-t^2 d t and g(x)=∫_0^x^2 t^1 / 2 e^-t d t. Then, the value of 9(f(√(log_e…

Let $\displaystyle f, g:(0, \infty) \rightarrow \mathbb{R}$ be two functions defined by $\displaystyle f(x)=\int_{-x}^x\left(|t|-t^2\right) e^{-t^2} d t$ and $\displaystyle g(x)=\int_0^{x^2} t^{1 / 2} e^{-t} d t$. Then, the value of $\displaystyle 9\left(f\left(\sqrt{\log _e 9}\right)+g\left(\sqrt{\log _e 9}\right)\right)$ is equal to