Problem of the Week 1039

Find Some Digits

What is the area (to six significant digits) of the region of the x-y plane in which

e^{−(y + x3)2} is greater than (y² / 32) + e^{sin y}?

Download a PDF typeset form for the statement of this problem.

Source: L. Trefethen, in the appendix of further problems in the book: The SIAM 100-Digit Challenge, by F. Bornemann, D. Laurie, S. Wagon, and J. Waldvogel.

© Copyright 2005 Stan Wagon. Reproduced with permission.