How is this possible?(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\int_{i\infty}^\pi e^{ix} dx = i[/tex]

I mean, I understand that the integral of exp(ix) is -iexp(ix) and then you evaluate that from π toi∞ — but that's exactly it, how does one "draw a line" from (π, 0) on the Argand plane to (0, ∞)? (assuming Argand plane tuples (a, b) ↔ a + bi)

EDIT: fixed the integrand, thanks Mute

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Imaginary integration?

Loading...

Similar Threads - Imaginary integration | Date |
---|---|

Gaussian integral w/ imaginary coeff. in the exponential | Jan 4, 2015 |

Substitution of imaginary variables in integral? | Sep 14, 2013 |

Integral of a real function multiplied by an imaginary function. | Aug 6, 2013 |

Imaginary components of real integrals | Dec 29, 2012 |

Integrating along the imaginary axis | Dec 16, 2010 |

**Physics Forums - The Fusion of Science and Community**