# Go to Maple and check the following
integrals. Then experiment on your own on four additional
integrals:
> **
int( x/(x^3-1), x );**
> **
int( exp(-x^2)*ln(x), x=0..infinity );**
(Here
g denotes
Euler’s constant which is approximately 0.577215… The
nature of whether
g is
rational or not is still an unsolved problem).
> **
int( exp(-x^2)*ln(x)^2, x=0..infinity );**
> **
int(1/x^3, x=-2..3, 'CauchyPrincipalValue');**
(Here the Cauchy Principal Value is defined by
to distinguish it from other
definitions). |