Let (left(B_{t}ight)_{t geqslant 0}) be (B M^{1}). Use It's formula to obtain representations of [X_{t}=int_{0}^{t} exp left(B_{s}ight)

Let \(\left(B_{t}ight)_{t \geqslant 0}\) be \(B M^{1}\). Use Itô's formula to obtain representations of

\[X_{t}=\int_{0}^{t} \exp \left(B_{s}ight) d B_{s} \quad \text { and } \quad Y_{t}=\int_{0}^{t} B_{s} \exp \left(B_{s}^{2}ight) d B_{s}\]

which do not contain Itô integrals.