1(x)*H_1(y)`` if axis=0 is ``x`` and axis=1 is ``y``.

Parameters
----------
c : array_like
    Array of Hermite_e series coefficients. If c is multidimensional
    the different axis correspond to different variables with the
    degree in each axis given by the corresponding index.
m : int, optional
    Order of integration, must be positive. (Default: 1)
k : {[], list, scalar}, optional
    Integration constant(s).  The value of the first integral at
    ``lbnd`` is the first value in the list, the value of the second
    integral at ``lbnd`` is the second value, etc.  If ``k == []`` (the
    default), all constants are set to zero.  If ``m == 1``, a single
    scalar can be given instead of a list.
lbnd : scalar, optional
    The lower bound of the integral. (Default: 0)
scl : scalar, optional
    Following each integration the result is *multiplied* by `scl`
    before the integration constant is added. (Default: 1)
axis : int, optional
    Axis over which the integral is taken. (Default: 0).

Returns
-------
S : ndarray
    Hermite_e series coefficients of the integral.

Raises
------
ValueError
    If ``m < 0``, ``len(k) > m``, ``np.ndim(lbnd) != 0``, or
    ``np.ndim(scl) != 0``.

See Also
--------
hermeder

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 :math:`u = ax + b` in an integral relative to `x`.  Then
:math:`dx = du/a`, so one will need to set `scl` equal to
:math:`1/a` - perhaps not what one would have first thought.

Also note that, in general, the result of integrating a C-series needs
to be "reprojected" onto the C-series basis set.  Thus, typically,
the result of this function is "unintuitive," albeit correct; see
Examples section below.

Examples
--------
>>> from numpy.polynomial.hermite_e import hermeint
>>> hermeint([1, 2, 3]) # integrate once, value 0 at 0.
array([1., 1., 1., 1.])
>>> hermeint([1, 2, 3], m=2) # integrate twice, value & deriv 0 at 0
array([-0.25      ,  1.        ,  0.5       ,  0.33333333,  0.25      ]) # may vary
>>> hermeint([1, 2, 3], k=1) # integrate once, value 1 at 0.
array([2., 1., 1., 1.])
>>> hermeint([1, 2, 3], lbnd=-1) # integrate once, value 0 at -1
array([-1.,  1.,  1.,  1.])
>>> hermeint([1, 2, 3], m=2, k=[1, 2], lbnd=-1)
array([ 1.83333333,  0.        ,  0.5       ,  0.33333333,  0.25      ]) # may vary

r