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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
If f′(x)=3x2sin⁡1x−xcos⁡1x,x≠0,f(0)=0f^{\prime}(x)=3 x^2 \sin \frac{1}{x}-x \cos \frac{1}{x}, x \neq 0, f(0)=0 then the value of f(1π){f}\left(\frac{1}{\pi}\right) is
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Correct option: A
0
Option A (0) is correct because after integrating f'(x) and applying the initial condition f(0) = 0, we find that f(1/π) = 0.

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