Raymond B. answered 01/29/22
Math, microeconomics or criminal justice
integral of x^4 = (x^5)/5
increase the exponent by 1, to get 5, and divide by that same number 5.
(no need to add the constant of integration, as it will be a definite integral, given the limits 3 to 5, although you could add the constant, but it just cancels out.)
evaluated at 3 to 5 = 5^5/5 - 3^5/5 = (1/5)(5^5 - 3^5) = (1/5)(3125 - 243)= (1/5)2882 = 576.4