JEE Math Practice Question
Let $$f(x) = \int\limits_0^x {{e^t}f(t)dt + {e^x}} $$ be a differentiable function for all x$$\in$$R. Then f(x) equals :
- A.$${e^{({e^{x - 1}})}}$$
- B.$$2{e^{{e^x}}} - 1$$
- C.$$2{e^{{e^x} - 1}} - 1$$
- D.$${e^{{e^x}}} - 1$$
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