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

Suppose `f(x) and g(x) ` are two continuous function defined for `0 le xle 1` . Given , `f(x)= int_(0)^(1) e^(x+1) . F(t) dt and g(x)=int _(0)^(1) e^(x+t). G(t) dt +x`,
The value of `f(1)` equals

A

(a) `(2)/(3-e^(2))`

B

(b) `(3)/(e^(2)-2)`

C

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

D

(d) 0

Text Solution

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The correct Answer is:
A
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