∫ tanx dx; x ∈ [-π, π] =

Question

\(\int\limits_{-\pi}^{\pi} \tan x \;d x= \)

(A) -1

(B) 0

(C) 2

(D) -2

Answer 1

Correct option is (B) 0

\(f(x) = \tan x\)

\(f(- x) = \tan (-x)\)

\(= -\tan x\)

\(= - f(x)\)

Hence the function is odd.

Therefore, \(I = 0\)