माना $$f(\theta ) = sin\theta + \int\limits_{ - \pi /2}^{\pi /2} {(\sin \theta + t\cos \theta )f(t)dt} $$ $$\,$$है। तो $$\,$$ $$\left| {\int\limits_0^{\pi /2} {f(\theta )\,d\theta } } \right|$$ $$\,$$ का मान है _______________ |