The value of $\int_0^{100}[\tan^{-1}x]dx$ (where [.] represents greatest integer ≤ x ) is:
Answer & explanation
Correct answer: option 3
$\int_0^{100}[\tan^{-1}x]dx=0+1×(100 - \tan 1)$
The value of $\int_0^{100}[\tan^{-1}x]dx$ (where [.] represents greatest integer ≤ x ) is:
Correct answer: option 3
$\int_0^{100}[\tan^{-1}x]dx=0+1×(100 - \tan 1)$