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If f be decreasing continuous function s...

If `f` be decreasing continuous function satisfying `f(x + y) = f(x) + f(y)-f(x) f(y) Y x, y epsilon R ,f'(0)=1` then `int_0^1 f(x)dx` is

A

1

B

`1-e`

C

`2-e`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
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