Bourbaki

Exercise 9, § 3

Functions of a Real Variable, II, 88

Deduce from exerc. 8 that the integrals

∫0∞dx∫0∞e−x2sin⁡y dyand∫0∞dy∫0∞e−y2sin⁡y dx \int_0^{\infty} dx \int_0^{\infty} e^{-x^2} \sin y \, dy \quad \text{and} \quad \int_0^{\infty} dy \int_0^{\infty} e^{-y^2} \sin y \, dx
exist and are equal.*

Solution

No solution has been written yet.

Transcribed from the printed volume. Not translated.