If f(y)=e^y,g(y)=y,y>0, and F(t)=int0^t...

If `f(y)=e^y,g(y)=y,y>0, and F(t)=int_0^t f(t-y)g(y) dy`, then

A

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

B

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

C

`F(t)=te^(t)`

D

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

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The correct Answer is:

B

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