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Let f(1) (x)= int(0)^(x) f(t) dt, f(2) (...

Let `f_(1) (x)= int_(0)^(x) f(t) dt, f_(2) (x) = int_(0)^(x) f_(1) (t) dt and f_(3) (x) = int_(0)^(x) f_(2) (t) dt` if `f_(3) (x) =A int_(0)^(x) f(t) (x-t)^(2) dt` then the value of A is

A

`1`

B

`1//2`

C

`2`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
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