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Let f ( x) = int 0 ^ x g (t) d...

Let ` f ( x) = int _ 0 ^ x g (t) dt ` , where g is a non - zero even function . If ` f(x + 5 ) = g (x) ` , then ` int _ 0 ^ x f (t ) dt ` equals :

A

`overset(5)underset(x+5)intg(t)dt`

B

`overset(x+5)underset(5) intg(t)dt,`

C

`2overset(x+5)underset(5) int g(t)dt`,

D

`5overset(5)underset(x+5) int g(t)dt`,

Text Solution

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The correct Answer is:
C
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