Bourbaki

Exercise 36, § 1

Functions of a Real Variable, III, 124

Deduce from exerc. 33 c) above, and from II, p. 88, exerc. 9, that

∫0+∞sin⁡x2 dx=12π2. \int_0^{+\infty} \sin x^2 \, dx = \frac{1}{2} \sqrt{\frac{\pi}{2}}.

Solution

No solution has been written yet.

Transcribed from the printed volume. Not translated.