Examples:

  1. GAMMA(1/2)
    Maple Screenshot

    Comment: The gamma function evaluated at ½ is equal to the square root of pi.

  2. plot(GAMMA(x), x=1/10..4)

    Maple Screenshot

  3. int((sin(t))^k, t=0..Pi/2)

    Maple Screenshot

    Comment: This simple looking integral is the ratio of gamma functions of differing arguments. Notice how long it took Maple to determine this result.

  4. plot(erf(x), x=-2..2)

    Maple Screenshot

    Comment: What are the limits of erf(x) as x tends to negative and positive infinity?

  5. diff(erf(x),x)

    Maple Screenshot

    Comment: You can see that the derivative of the Error function involves the function exp(-x^2), thus the the integral of this function must be the Error function. These functions can be used in Maple by referring to them, just as you refer to sin(x) or exp(x).