JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

If [t] denotes the greatest integer

\leq t

, then the value of

\frac{3(e-1)}{e} \int\limits_{1}^2 x^2 e^{[x]+\left[x^3\right]} d x

View answer and explanation

Correct option: D

e^8-e

Option D (

e^8-e

) is correct because it is the result of evaluating the definite integral after applying the greatest integer function and simplifying.

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