Create a function that takes numbers $b, $m, and $n as arguments and returns the definite integral of the function f(x)=(b+1)*x^b with respect to x from x=m to x=n, where $b, $m, and $n are constants.

Examples

integral(0, 2, 5) ➞ 3

integral(2, 4, 7) ➞ 279

integral(5, 9, 3) ➞ -530712

Notes

• ^ in the context of this challenge means "to the power of", also known as the "exponent" operator.
• Assume that $b will be an integer greater than or equal to 0.
• $m and $n can be any integer, both positive and negative.