Let , the value of ,…

MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals

Problem

Let f(x)=∣2cos⁡2xsin⁡2x−sin⁡xsin⁡2x2sin⁡2xcos⁡xsin⁡x−cos⁡x0∣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} , the value of ∫0π/2{f(x)+f′(x)}dx\int_0^{\pi/2} \{f(x) + f'(x)\} dx , is (1) π/2\pi/2 (2) π\pi (3) 3π/23\pi/2 (4) 2π2\pi

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