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QJEEAdv03Ma120e: JEE Advanced 2003 Mathematics - Class 12 JEEAdv03Ma120e Solution: If f is an even function then prove that ∫ 0 π / 2 f ( cos ⁡ 2…

If f is an even function then prove that
∫0π/2f(cos⁡2x)cos⁡xdx=2∫0π/4f(sin⁡2x)cos⁡xdx.

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