JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

The value of

\int\limits_{0}^{100}\left[\tan ^{-1} x\right] d x

, is

View answer and explanation

Correct option: C

100-\tan 1

Option C (

100 - \tan 1

) is correct because the integral simplifies to the length of the interval where the greatest integer of

\tan^{-1} x

is 1.

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