Analytic Solution to Integral of Polynomial  This example shows
how to use the polyint function to integrate polynomial
expressions analytically. Use this function to evaluate
indefinite integral expressions of polynomials.  Define the
Problem  Consider the real-valued indefinite integral,   The
integrand is a polynomial, and the analytic solution is   where
k is the constant of integration. Since the limits of
integration are unspecified, the integral function family is not
well-suited to solving this problem.  Express the Polynomial
with a Vector  Create a vector whose elements represent the
coefficients for each descending power of x.  p = [4 0 -2 0 1
4];  Integrate the Polynomial Analytically  Integrate the
polynomial analytically using the polyint function. Specify the
constant of integration with the second input argument.  k = 2;
I = polyint(p,k) I =      0.6667    0   -0.5000    0    0.5000
4.0000    2.0000  The output is a vector of coefficients for
descending powers of x. This result matches the