JEE Main 202126 Feb, Morning shiftMathematicsEasyIntegral Calculus369× since 2002The value of ∑n=1100∫n−1nex−[x]dx\sum\limits_{n = 1}^{100} {\int\limits_{n - 1}^n {{e^{x - [x]}}dx} }n=1∑100n−1∫nex−[x]dx, where [ x ] is the greatest integer ≤\le≤ x, is :AOption A. 100eBOption B. 100(e −-− 1)COption C. 100(1 + e)DOption D. 100(1 −-− e)CheckSkip · show solution