Determine the definite integral represented by _ N _ i=1 ^ N 4+ 6i N , 6 N

MATHEMATICS · Subjective · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Determine the definite integral represented by

\lim_{N\to\infty}\sum_{i=1}^{N}\sqrt{4+\frac{6i}{N}}\,\frac{6}{N}.

(Do not evaluate the integral.)