设f(Inx)的导数等于1+x,求函数f(x)

---

ƒ'(lnx) = 1 + x
ƒ册燃如段首'[ln(e^x)] = 1 + e^x
ƒ'州启(x) = 1 + e^x
ƒ(x) = ∫ (1 + e^x) dx = x + e^x + C

---