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Suppose f(x) and g(x) are two continuou...

Suppose `f(x) and g(x)` are two continuous functions defined for `0<=x<=1`.Given, `f(x)=int_0^1 e^(x+1) .f(t) dt and g(x)=int_0^1 e^(x+1) *g(t) dt+x` The value of `f( 1)` equals

A

0

B

`(1)/(3)`

C

`(1)/(e^(2)`

D

`(2)/(e^(2))`

Text Solution

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The correct Answer is:
B
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