JEE PYQ: Definite Integration Question 18
Question 18 - 2021 (26 Feb Shift 1)
The value of $\sum_{n=1}^{100} \int_{n-1}^n e^{x - [x]},dx$, where $[x]$ is the greatest integer $\leq x$, is:
(1) $100(e - 1)$
(2) $100e$
(3) $100(1 - e)$
(4) $100(1 + e)$