Simple single variable integral calc

[chromecarz00]

Homework Statement

∫ e^x dx
1+e^2x

Homework Equations

The Attempt at a Solution

Its the e^x and the e^2x that's tripping me up, i know that e^x is just itself but what is the rule behind e^2x?

 

[PowerIso]

u = e^x
du= e^xdx

So then your integral is

u/(1+u^2)du

Does that look like something (think arc(something))

 

[rocomath]

$$\int\frac{e^x}{1+e^{2x}}dx$$

$$u=e^x$$
$$du=e^xdx$$

PowerIso meant ...

$$\int\frac{du}{1+u^2}$$