## Multiple Cycles of the Complex Exponential Function

A Definite Integral of the Complex Exponential Function Recall from this post that: $\int_0^{2 \pi} d\theta \cos\theta + i \int_0^{2 \pi} d\theta \sin\theta = 0$ and $\int_0^{2 \pi} d\theta e^{i \theta} = 0.$…

Integral of a Complex Exponential Consider the integral $\int_0^{2 \pi} d\theta e^{i \theta}$. Upper Limit of $2 \pi$ Radians The upper limit is the number, $2 \pi$. For a circle with…