Question 91
The differentiable function $F: \mathbb{R} \rightarrow \mathbb{R}$ satisfies $F(0) = -1$ and
$$
\frac{d}{d x} F(x) = \sin (\sin (\sin (\sin (x)))) \cdot \cos (\sin (\sin (x))) \cdot \cos (\sin (x)) \cdot \cos (x)
$$
Find $F(x)$ as a function of $x$.
$$
\frac{d}{d x} F(x) = \sin (\sin (\sin (\sin (x)))) \cdot \cos (\sin (\sin (x))) \cdot \cos (\sin (x)) \cdot \cos (x)
$$
Find $F(x)$ as a function of $x$.