1. ## Integral of e^x/2?

Integral of e^x/2?

I've looked in my book for a forumla to work something like this out but can't find it. All it said was the integral of e^x/2 = 2e^x/2, so I'm guessing the formula is e^x/a = ae^x/a?

Hope you can help, thanks.

2. Originally Posted by Alexrey
Integral of e^x/2?

I've looked in my book for a forumla to work something like this out but can't find it. All it said was the integral of e^x/2 = 2e^x/2, so I'm guessing the formula is e^x/a = ae^x/a?

Hope you can help, thanks.
Yes. $\int e^{x/a} \, dx = a e^{x/a} + C$.

It follows from the standard form $\int e^{kx} \, dx = \frac{1}{k} e^{kx} + C$, where $k = \frac{1}{a}$.