# polyint

Polynomial Integration

### q = polyint(p, c)

• p should be a vector, real or complex, containing the coefficients of the polynomial $$p(x)=p_1x^n+p_2x^{n-1}+\cdots+p_nx +p_{n+1},$$ with p(1) being the highest order term.
• q is contains the coefficients of the integration $$q(x)=\int p(x)dx=\frac{1}{n+1}p_1x^{n+1}+\frac1{n}p_2x^{n}+\cdots+\frac{1}{2}p_nx^2+p_{n+1}x+c,$$ where $c$ is given by the input argument c.
• c should be a scalar, real or complex.

### q = polyint(p)

• It is the same as q = polyint(p, 0).

Example 1: Integrating a real polynomial with a complex constant term.

q = polyint(1:4,0.5i)

q =
Columns 1 through 2:
0.250 + 0.000i   0.667 + 0.000i
Columns 3 through 4:
1.500 + 0.000i   4.000 + 0.000i
Column 5:
0.000 + 0.500i