Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Definite Integration

Question:

The value of $\int_0^{100}[\tan^{-1}x]dx$ (where [.] represents greatest integer ≤ x ) is:

Options:

100

$100 - \tan^{-1} 1$

100 - tan1

None of these

Correct Answer:

100 - tan1

Explanation:

$\int_0^{100}[\tan^{-1}x]dx=0+1×(100 - \tan 1)$