1 votes 1 votes 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 $\pi$ $\frac{\pi}{2}$ $0$ $1$ Linear Algebra isi2017-dcg linear-algebra determinant definite-integral non-gate + – gatecse asked Sep 18, 2019 retagged Nov 15, 2019 by Lakshman Bhaiya gatecse 554 views answer comment Share Follow See 1 comment See all 1 1 comment reply `JEET commented Dec 23, 2019 reply Follow Share Just solving determinant will give the answer in this question. 0 votes 0 votes Please log in or register to add a comment.
2 votes 2 votes after solving determinant $\Delta = 2$ so $\int_{0}^{\pi/2} 2 \ dx = \pi$ Answer is A. ajaysoni1924 answered Dec 30, 2019 ajaysoni1924 comment Share Follow See 1 comment See all 1 1 comment reply indranil21 commented Sep 13, 2020 reply Follow Share correct 0 votes 0 votes Please log in or register to add a comment.