JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

The value of

\sum\limits_{n = 1}^{100} {\int_{n - 1}^n {{e^{x - \left[ x \right]}}dx,} }

where

\left[ x \right]

is the greatest integer

\le x,

View answer and explanation

Correct option: A

100\,(e - 1)

The correct answer is A (

100\,(e - 1)

) because it correctly evaluates the integral and uses the properties of the greatest integer function.

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