Determine whether the left Riemann sum or the right Riemann sum of an increasing…

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

Problem

Determine whether the left Riemann sum

L_n

or the right Riemann sum

R_n

of an increasing function

f

on the interval

[1,4]

(using

n

equal subintervals) is an underestimate of

\displaystyle \int_{1}^{4} f(x)\,dx

. State your choice and give a one-sentence reason.