Which method is most efficient to evaluate ∫exe2x+ex+1dx\int \frac{e^x}{e^{2x} + e^x + 1} dx∫e2x+ex+1exdx?
Substitution u=exu = e^xu=ex, then complete the square
Integration by parts with u=exu = e^xu=ex
Partial fraction decomposition
Trigonometric substitution