If f(y)=e^ y . g(y)=y: y>0 F(t)= _ 0 ^ t f(t-y) g(y) d y , then
Mathematics · JEE Main · NTA Exams — Integral Calculus
If \(f(y)=e^{y} .\) \(g(y)=y: y>0\)\(F(t)=\int_{0}^{t} f(t-y) g(y) d y \text {, then }\)
- \(F(t)=t e^{t}\)
- \(F(t)=t e^{t}\)
- \(F(t)=e^{t}-(1+t)\)
- \(F(t)=1-\mathbf{e}^{t}-(1+t)\)
Answer
(C) F(t)=e^ t -(1+t)
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