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If $f(x) = \begin{vmatrix} 2 \cos ^2 x & \sin 2x & – \sin x \\ \sin 2x & 2 \sin ^2 x & \cos x \\ \sin x & – \cos x & 0 \end{vmatrix},$  then $\int_0^{\frac{\pi}{2}} [ f(x) + f’(x)] dx$  is

  1. $\pi$
  2. $\frac{\pi}{2}$
  3. $0$
  4. $1$
in Linear Algebra by Boss (17.5k points)
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Just solving determinant will give the answer in this question.

1 Answer

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after solving determinant $\Delta = 2$

so $\int_{0}^{\pi/2} 2 \ dx = \pi$

Answer is A.
by Boss (10.8k points)
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