*calculate integers from -2^Integer.MAX_VALUE(exclusive) to +2^Integer.MAX_VALUE. and then design a suitable test strategy and implement it in JUnit.****

To calculate integers from -2^Integer.MAX_VALUE (exclusive) to +2^Integer.MAX_VALUE (exclusive), we can use a loop that iterates from -2^Integer.MAX_VALUE to +2^Integer.MAX_VALUE, incrementing by 1 in each iteration. However, since this range is extremely large, the loop will take a very long time to complete.

To design a suitable test strategy for this task, we can use boundary value analysis. We can test the following cases:

1. Minimum value (-2^Integer.MAX_VALUE)
2. Maximum value (+2^Integer.MAX_VALUE - 1)
3. Values just below the minimum value (-2^Integer.MAX_VALUE + 1)
4. Values just above the maximum value (+2^Integer.MAX_VALUE - 2)
5. Random values within the range

For each of these cases, we can verify that the calculated integer is within the expected range. We can also verify that the loop terminates without any errors.

Here's an example implementation of the JUnit test:

import static org.junit.Assert.*;
import org.junit.Test;

public class IntegerRangeTest {
  
  @Test
  public void testIntegerRange() {
    int min = Integer.MIN_VALUE;
    int max = Integer.MAX_VALUE - 1;
    
    // Test minimum value
    assertEquals(min, -Math.pow(2, Integer.MAX_VALUE));
    
    // Test maximum value
    assertEquals(max, Math.pow(2, Integer.MAX_VALUE) - 1);
    
    // Test value just below minimum
    assertEquals(min + 1, -Math.pow(2, Integer.MAX_VALUE) + 1);
    
    // Test value just above maximum
    assertEquals(max - 1, Math.pow(2, Integer.MAX_VALUE) - 2);
    
    // Test random values within range
    for (int i = -1000; i <= 1000; i++) {
      int val = i * 1000000;
      assertTrue(val >= min && val <= max);
    }
  }
}

This test verifies that the calculated integers are within the expected range for various boundary and random values.