Consider the integral

\begin{equation}

I(x)= \frac{1}{\pi} \int^{\pi}_{0} sin(xsint) dt

\end{equation}

show that

\begin{equation}

I(x)= 4+ \frac{2x}{\pi}x +O(x^{3})

\end{equation}

as $x\rightarrow0$.

=> I Have used the expansion of McLaurin series of $I(x)$ but did not work.

please help me.