Maple Activities



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).