JEE Advanced Mathematics question

MathematicsDefinite IntegrationJEE Advanced

Let be a positive function. If

= x f\{x(1-x)\} dx, = f\{x(1-x)\} dx,

where , then is

Answer: (C)

Solution

Use with . Under , is unchanged, so

= (1 - x) f\{x

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Question ID VK-109525