Consider the graph of the parametric equations
\(\begin{align*} x &= \frac{1}{\sqrt{t^2 + 1}},\\ y &= \frac{t}{\sqrt{t^2 + 1}}. \end{align*}\)
What is the area of the shape bounded by this graph and the y-axis? If this doesn't form a closed curve, answer with 0..