The riemann sum, the limit as the maximum of delta x sub i goes to infinity of the summation from i equals 1 to n of f of the quantity x star sub i times delta x sub i , is equivalent to the limit as n goes to infinity of the summation from i equals 1 to n of f of the quantity a plus i times delta x, times delta x with delta x equals the quotient of the quantity b minus a and n . write the integral that produces the same value as the limit as n goes to infinity of the summation from i equals 1 to n of the product of the quantity squared of 3 plus 5 times i over n and 5 over n .
1)the integral from 1 to 3 of the quantity x plus 1, dx2)the integral from 1 to 4 of x, dx3)the integral from 1 to 4 of the quantity 3 times x plus 1, dx4)the integral from 1 to 3 of x, dx