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If f(y)=e^(y),g(y)=y:ygt0andF(t)=int(0)^...

If `f(y)=e^(y),g(y)=y:ygt0andF(t)=int_(0)^(t)f(t-y)g(y)dy,` then

A

`F(t)= t e^(t)`

B

`F(t) = t e^(-t)`

C

`F(t) = 1 - e^(-t)(1+t)`

D

`F(t) = e^(t) - (1+t)`

Text Solution

Verified by Experts

The correct Answer is:
D
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