If f(x) = |{sinx cosecx tanx} {secx xsinx xtanx} {x^2-1 cosx x^2+1}|, then

Question

If \(f(x) = \begin{vmatrix}sin x&cosecx &tan x\\secx&xsinx&xtanx\\x^2-1&cosx&x^2+1\end{vmatrix}\), then \(\int\limits_{-a}^a |f(x)|dx\) = 

(a) 1

(b) –1

(c) 2a

(d) 0

Answer 1

Correct option is (d) 0