# Math Help - Integration by expansion

1. ## Integration by expansion

Consider the integral

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

show that

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

as $x\rightarrow0$.
=> I Have used the expansion of McLaurin series of $I(x)$ but did not work.
I'm not getting that 4. I'm getting only $\dfrac {2x}{\pi}$