JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

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Application +4 | -1

The value of the sum

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

, where

[\cdot]

denotes the greatest integer function, is

View answer and explanation

Correct option: B

100(e-1)

Option B (

100(e-1)

) is correct because the sum of integrals can be combined into a single integral, which simplifies due to the periodic nature of the function.

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