- Thread starter
- #1

By considering the integral $$\int_{\gamma(0;1)}\exp(z) \mathrm{d}z$$,show that

$$\int_0^{2\pi}\exp(\theta)\cos(\theta+\sin(\theta)) \mathrm{d}\theta = 0$$

i know that since $$f(z)=\exp(z)$$ is holomorphic on and inside $$\gamma(0;1)$$,$$\int_{\gamma(0;1)}\exp(z) \mathrm{d}z = 0$$

But now how do i transform it to a contour so that i can use that integral?