Let the function f: [0,2] R be defined as , where [t] den…

Maths Definite Integral and Area Under Curves JEE Main 2023 - ( Definite Integration ) Single Correct MCQ

Published on: August 13, 2026

Let the function f: [0,2] R be defined as , where [t] denotes the greatest integer less than or equal to t. Then the value of the integral is

2e-1

2e -

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The correct answer is:

Given,

As x - In x [1,2) for x [1, 2], so[x -lnx]= 1 and x - [x]={x}, so x (0,1), x 2 <{x}

Now solving the integral we get,

Now in first integral, let we get,

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