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JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Analyzing +4 | -1
The value of ∫01x4(1−x)41+x2dx\int_0^1 \frac{x^4(1-x)^4}{1+x^2} d x, is
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Correct option: A
227−π\frac{22}{7}-\pi
Option A (227−π\frac{22}{7}-\pi) is correct because after polynomial division and integration, the result matches this value.

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