If _0^ 2a f(x) ,dx = 2 _0^a f(x) ,dx, then - Vidyadip

MCQ

If $\int_0^{2a} {f(x)\,dx = 2\int_0^a {f(x)\,dx,} } $ then

A
$f(2a - x) = - f(x)$
✓
$f(2a - x) = f(x)$
C
$f(a - x) = - f(x)$
D
$f(a - x) = f(x)$

✓

Answer

Correct option: B.

$f(2a - x) = f(x)$

b
(b) It is a fundamental property.

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