Taking advantage of symmetry…

Estimate: Solution: The problem cannot be evaluated by the usual techniques of integration; that is to say, the integrand does not have an antiderivative. The problem can be handled if we happen to notice thet the integrand is symmetric about the point . To show this is so, let It suffices to show that Note:…

Continua a leggere →

Palindromic numbers…

A palindrome – as you can read here from wikipedia – is a word, number, phrase, or other sequence of characters which reads the same backward as forward, such as madam or racecar. A curious series of palindromic numbers is obtained by multiplying by themselves numbers composed of strings of 1 (the 1’s must be…

Continua a leggere →