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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
The function ff whose graph passes through (4,−20)(4,-20) and whose derivative is cos⁡(4−x)\cos (\sqrt{4-x}) is given by
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Correct option: D
−(2x+12)4−xsin⁡4−x+(4−6x)cos⁡4−x-(2 x+12) \sqrt{4-x} \sin \sqrt{4-x} \\ +(4-6 x) \cos \sqrt{4-x}
Option C (−2(4−xsin⁡4−x+cos⁡4−x)−18-2(\sqrt{4-x} \sin \sqrt{4-x}+\cos \sqrt{4-x})-18) is correct because integrating the derivative and using the given point yields this function.

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