Find the area between the curves. \[ x=-2, x=2, y=2 x^{2}+6, y=0 \]

Step 1 ：We are given the curves \(x=-2\), \(x=2\), \(y=2 x^{2}+6\), and \(y=0\).

Step 2 ：We need to find the area between these curves.

Step 3 ：The area between the curves can be found by integrating the difference of the two functions over the interval from -2 to 2.

Step 4 ：The two functions are \(y = 2x^2 + 6\) and \(y = 0\).

Step 5 ：The difference between these two functions is simply the function itself, \(2x^2 + 6\).

Step 6 ：So, we need to integrate this function from -2 to 2.

Step 7 ：The integral of \(2x^2 + 6\) from -2 to 2 is \(\frac{104}{3}\).

Step 8 ：Final Answer: The area between the curves is \(\boxed{\frac{104}{3}}\).