## sasogeek 5 years ago can anyone explain integration of exponential functions presuming that I have no previous knowledge of it. as a novice

1. anonymous

the indefinite integral $\int e^{f(x)}dx$ is given by $\frac{1}{\frac{df}{dx}}e^{f(x)}$ So for example, if you want $\int e^{3x^2+6x}$ since $\frac{d}{dx}(3x^2 + 6x) = 6x+6$ we have $\int e^{3x^2+6x} = \frac{1}{6x+6}e^{3x^2+6x}$

2. anonymous

I apologize -- I just realized that this is wrong. The formula I gave you will only work if f(x) is only linear in x (for example is f(x) = 6x). If this is not the case, the integral is typically more difficult.