A function which satisfies the relation f(x)=e^ x + _ 0 ^ 1 e^ x f(t) d t then is
Mathematics · JEE Advanced · NTA Exams — Integral Calculus
A function 
which satisfies the relation
\(f(x)=e^{x}+\int_{0}^{1} e^{x} f(t) d t\) then
is
which satisfies the relation \(f(x)=e^{x}+\int_{0}^{1} e^{x} f(t) d t\) then
is- \(\frac{e^{x}}{2-e}\)
- \((e-2) e^{x}\)
- \(2 e^{x}\)
- \(\frac{e^{x}}{2}\)
Answer
(A) e^ x 2-e
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