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JEE Advanced Mathematics question

MathematicsDefinite IntegrationJEE Advanced

Let be a fixed number. Suppose is a continuous function such that for all , . If then the value of is

Answer: (C)

Solution

Put , ; the limits become and :

f(2x) dx = Missing argument for \frac\frac12 f(z) dz.

For a -periodic continuous , the integral over any interval of

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Question ID VK-110610