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The process of storing integers in an array using C is as follows:

1. Declare an array variable of integer type and specify the size of the array using square brackets ([]).

Example: int arr[5];

1. Initialize the values in the array using curly braces ({}) and separating the values with commas (,).

Example: int arr[5] = {1, 2, 3, 4, 5};

1. Access the individual elements of the array using their index values, which start from 0.

Example: int x = arr[2]; // x will be assigned the value of 3, which is the third element in the array.

1. Modify the values of individual elements in the array using their index values.

Example: arr[1] = 10; // the value of the second element in the array will be changed to 10.