JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

\int\limits_{0}^{102}\left[\tan ^{-1} x\right] {dx}=(

where

[x]

is the largest integer not exceeding

x)

View answer and explanation

Correct option: A

102-\tan 1

Option A (

102-\tan 1

) is correct because the integral can be split into two parts based on the value of the greatest integer function, and then evaluated.

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