Solveeit Logo
Login

Question

Question: If f(x) = \(\left| \begin{matrix} x & \cos x & e^{x^{2}} \\ \sin x & x^{2} & \sec x \\ \tan x & 1 & ...

If f(x) = ∣xcos⁡xex2sin⁡xx2sec⁡xtan⁡x12∣\left| \begin{matrix} x & \cos x & e^{x^{2}} \\ \sin x & x^{2} & \sec x \\ \tan x & 1 & 2 \end{matrix} \right| Then ∫–π/4+π/4f(x)dx\int_{–\pi/4}^{+ \pi/4}{f(x)dx} =

A

0

B

1

C

4

D

None of these

Answer

0

Explanation

Solution

Q f(x) is odd function

\ ∫–π/4+π/4f(x)dx\int_{–\pi/4}^{+ \pi/4}{f(x)dx} = 0.