Evaluate ∫{√x} dx for x=1 to 484.

NOTE: The greatest integer function is defined as a function that produces the "greatest integer less than or equal to the number" operated upon, symbol [x] or sometimes [[x]]. If the number is an integer, use that integer. If the number is not an integer, use the next smaller integer.

¡ò{¡îx}dx=¡ò(x-[x])dx=¡òxdx-¡ò[¡îx]dx=I-J

The integral I is equal to (2/3)*x¡îx calculated between 1 and 484 and that means 7098.

The integral J can be split in a sum of 21 integrals like k¡òdx for x=k©÷ to (k+1)©÷ and k=1 to 21. This sum is equal to 6853.

Then tha final result is 7098-6853=245