Definite Integration

ধর \(f\left( \theta \right) = \sin \theta + \int\limits_{ - {\raise0.5ex\hbox{$\scriptstyle \pi $} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}^{{\raise0.5ex\hbox{$\scriptstyle \pi $} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}} {} \left( {\sin \theta + t\,\cos \theta } \right)f\left( t \right)dt\)

তাহলে \(\left| {\int_0^{{\raise0.5ex\hbox{$\scriptstyle \pi $} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}} {} f\left( \theta \right)d\theta } \right|\) সমান ________.