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If f(x) = f(a - x), then int0^(a) xf(x) ...

If `f(x) = f(a - x)`, then `int_0^(a) xf(x) dx` is equal to :

A

`a int_0^a f(x) dx`

B

`(a^2)/2 int_0^a f(x) dx`

C

`a/2 int_0^a f(x) dx`

D

`-a/2 int_0^a f(x) dx`.

Text Solution

Verified by Experts

The correct Answer is:
C
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MODERN PUBLICATION-DEFINITE INTEGRALS-MULTIPLE CHOICE QUESTIONS (LEVEL - II)
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