Hello! I have a problem in understanding why ##x=e^y## is inverse function of ##y=\int_1^x \frac{1}{t} dt##. This question seems strange but I'll try to describe my problem. As is known, the function ##y= \int_1^x \frac{1}{t} dt## is defined as ##y=ln(x)## but I can't understand why. In... Read more

Why is ##x=e^y## the inverse of ##y=\int_1^x \frac{1}{t} dt##?
Mike_bb

