The length of a curve y=f(x) from x = a to x = b is given by b L = ∫ᵇₐ √ e^2x + 4ex + 5dx, then f(x) may be: \frac{1}{2} e^2x + 2e^x + 2^x + x e^x + 2x + 1 e^x + 2e + 2 2e^2x + 4e^x