Jee Main
Definite Integration
JEE Main 2021 (Online) 31st August Evening Shift
MCQ+4 / -12021
If [x] is the greatest integer \(\le\) x, then
\({\pi ^2}\int\limits_0^2 {\left( {\sin {{\pi x} \over 2}} \right)(x - [x]} {)^{[x]}}dx\) is equal to :
\({\pi ^2}\int\limits_0^2 {\left( {\sin {{\pi x} \over 2}} \right)(x - [x]} {)^{[x]}}dx\) is equal to :