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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Analyzing +4 | -1
Given, f(x)=∣0x2−sin⁡xcos⁡x−2sin⁡x−x201−2x2−cos⁡x2x−10∣f(x)=\left|\begin{array}{ccc}0 & x^2-\sin x & \cos x-2 \\ \sin x-x^2 & 0 & 1-2 x \\ 2-\cos x & 2 x-1 & 0\end{array}\right|, then ∫f(x)dx\int f(x) d x is equal to
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Correct option: D
None of the above
The correct answer is D (None of the above) because the determinant is zero, making the integral zero as well.

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