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

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

A

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

B

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

C

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

D

`F (t) = t e'`

Text Solution

Verified by Experts

The correct Answer is:
C
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MOTION-DEFINITE INTEGRATION -EXERCISE -2 (LEVEL-I)
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