- #1
wel
Gold Member
- 36
- 0
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 [itex]x\rightarrow0[/itex].
=> I Have used the expansion of McLaurin series of [itex]I(x)[/itex] but did not work.
please help me.
(Note: It is not my homework or coursework question but it is from past exam paper which i am preparing for my exam)
\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 [itex]x\rightarrow0[/itex].
=> I Have used the expansion of McLaurin series of [itex]I(x)[/itex] but did not work.
please help me.
(Note: It is not my homework or coursework question but it is from past exam paper which i am preparing for my exam)