Integrate a polynomial.
Returns the polynomial coefficients c integrated m times from lbnd along axis. At each iteration the resulting series is multiplied by scl and an integration constant, k, is added. The scaling factor is for use in a linear change of variable. (“Buyer beware”: note that, depending on what one is doing, one may want scl to be the reciprocal of what one might expect; for more information, see the Notes section below.) The argument c is an array of coefficients, from low to high degree along each axis, e.g., [1,2,3] represents the polynomial 1 + 2*x + 3*x**2 while [[1,2],[1,2]] represents 1 + 1*x + 2*y + 2*x*y if axis=0 is x and axis=1 is y.
Parameters :  c : array_like
m : int, optional
k : {[], list, scalar}, optional
lbnd : scalar, optional
scl : scalar, optional
axis : int, optional


Returns :  S : ndarray

Raises :  ValueError :

See also
Notes
Note that the result of each integration is multiplied by scl. Why is this important to note? Say one is making a linear change of variable in an integral relative to x. Then .. math::dx = du/a, so one will need to set scl equal to  perhaps not what one would have first thought.
Examples
>>> from numpy import polynomial as P
>>> c = (1,2,3)
>>> P.polyint(c) # should return array([0, 1, 1, 1])
array([ 0., 1., 1., 1.])
>>> P.polyint(c,3) # should return array([0, 0, 0, 1/6, 1/12, 1/20])
array([ 0. , 0. , 0. , 0.16666667, 0.08333333,
0.05 ])
>>> P.polyint(c,k=3) # should return array([3, 1, 1, 1])
array([ 3., 1., 1., 1.])
>>> P.polyint(c,lbnd=2) # should return array([6, 1, 1, 1])
array([ 6., 1., 1., 1.])
>>> P.polyint(c,scl=2) # should return array([0, 2, 2, 2])
array([ 0., 2., 2., 2.])