find-sum-cubes-range()

Step 1: Understand the Problem

The function we want to create, find-sum-cubes-range, requires us to find the sum of the cubes of all the numbers within a specified range. For instance, the range 1-3 would have a sum of 1^3 + 2^3 + 3^3 = 36.

public class Main {
    public static void main(String[] args) {
        // Here we will implement our function
    }
}

Step 2: Begin the Function Implementation

We need to establish our function's parameters. We decide to take two integer inputs: start and end – these represent the beginning and end of our range.

public class Main {
    public static int findSumCubesRange(int start, int end) {
        // Here we will implement the logic
    }
}

Step 3: Loop Through the Range

Next, we implement a loop from the start to the end of the range and calculate the cube of each number, adding it to our sum variable.

public class Main {
    public static int findSumCubesRange(int start, int end) {
        int sum = 0;
        for (int i = start; i <= end; i++) {
            sum += i * i * i;
        }
        return sum;
    }
}

Step 4: Return the Sum

Finally, our function returns the sum. This is the total of all the cubes from the start to the end parameters.

public class Main {
    public static int findSumCubesRange(int start, int end) {
        int sum = 0;
        for (int i = start; i <= end; i++) {
            sum += i * i * i;
        }
        return sum;
    }

    public static void main(String[] args) {
        System.out.println(findSumCubesRange(1, 3)); // Outputs 36
    }
}

Step 5: Test the Function

The last step involves testing our function to ensure it correctly calculates the sum of cubes within the specified range. In the example above, the function correctly calculated the sum for the range 1 to 3. It's also advisable to test with different ranges.

Conclusion

So, creating a function in Java to compute the sum of cubes in a given range involves establishing a for loop to iterate through the range of integers, calculating the cube of each integer, and adding these cubes to a running total.

The completed function definition is as follows:

public class Main {
    public static int findSumCubesRange(int start, int end) {
        int sum = 0;
        for (int i = start; i <= end; i++) {
            sum += i * i * i;
        }
        return sum;
    }

    public static void main(String[] args) {
        System.out.println(findSumCubesRange(1, 3)); // Outputs 36
    }
}

Remember to always test your code with different inputs to ensure its robustness.