AAI ATC Junior Executive 2018 Shift 3 Paper

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Question : 102 of 120

Marks: +1, -0

Which of the following is true?

$∫ _{0}^{2a}⁡f(x)dx = ∫ _{0}^{a}⁡f(x)dx,if\;\text " "\;f(2a−x) = −f(x)$
$∫ _{0}^{2a}⁡f(x)dx = 2∫ _{0}^{a}⁡f(x)dx,if\;\text " "\;f(2a−x) = −f(x)$
$∫ _{0}^{2a}⁡f(x)dx = \;{1}/{2}f(x)dx,iff(2a−x) = −f(x)$
$∫ _{0}^{2a}⁡f(x)dx = 0,iff(2a−x) = −f(x)$

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