Question

Consider, $f(x)=\left|\begin{array}{ccc}{x}^3-4x& \sin x-\tan x& {\sec }^{2}x\\ 3a^2+1& 2a& a^6+6\\ a+k& 1& 2\end{array}\right|$. If $\underset{\frac{-\pi }{4}}{\overset{\frac{\pi }{4}}{\int }}f(x)dx\ge 0\forall a\in R$ then number of integral values of $k$ is(are) -

• A. 0
• B. 1
• C. 2
• D. 3

Answer 1

Answer: (D)

Correct answer is (d) 3