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Definite Integration question

2021 · 26 Feb · Shift 1 · Q29

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PYQ Library
JEE Main
Mathematics
Definite Integration
2021 · 26 Feb · Shift 1 · Q29

Definite Integration question

2021 · 26 Feb · Shift 1 · Q29

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

The value of

\sum\limits_{n = 1}^{100} {\int\limits_{n - 1}^n {{e^{x - [x]}}dx} }

, where [ x ] is the greatest integer

\le

x, is :

A
100e
B
100(e $-$ 1)
C
100(1 + e)
D
100(1 $-$ e)

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