Hello, How do I integrate the following: $\displaystyle \int_{0}^{1} e^{-2\pi x \gamma i}dx$ Thanks.
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Originally Posted by surjective Hello, How do I integrate the following: $\displaystyle \int_{0}^{1} e^{-2\pi x \gamma i}dx$ Thanks. You can integrate complex valued functions just like real valued functions. So $\displaystyle \int e^{-2\pi x \gamma i}dx = \frac{i}{2\pi\gamma}e^{-2\pi x \gamma i} + C $ Can you take it from here?
Hey, Thanks for the reply. How did you arrive at that? Could you please break it down. I have never integrated complex functions before. Thanks a million
Originally Posted by surjective Hey, Thanks for the reply. How did you arrive at that? Could you please break it down. I have never integrated complex functions before. Thanks a million Like I said, it's ok to apply the same methods of integration to complex valued functions as real valued functions. With that said, what's $\displaystyle \int e^{ax}dx $?
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