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Question: Answered & Verified by Expert
If $f(x)=\left|\begin{array}{ccc}2 \cos ^2 x & \sin 2 x & \sin x \\ \sin 2 x & 2 \sin ^2 x & -\cos x \\ \sin x & -\cos x & 0\end{array}\right|$ then
$$
\int_0^{\frac{\pi}{4}}\left(2|f(x)|+5 f^{\prime}(x)\right) d x=
$$
MathematicsDeterminantsTS EAMCETTS EAMCET 2022 (20 Jul Shift 1)
Options:
  • A 0
  • B $\frac{\pi}{4}$
  • C $\frac{\pi}{2}$
  • D $\pi$
Solution:
1297 Upvotes Verified Answer
The correct answer is: $\pi$
No solution. Refer to answer key.

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