Let be a continuous

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

Problem

Let

f

be a continuous, increasing function on the interval

[0,5]

, and define

g(x)= \int_{0}^{x} f(t)\,dt.

Without performing any calculations, determine whether a left Riemann sum with five subintervals of equal width on

[0,5]

gives an overestimate or an underestimate of

g(5)

. State your answer and briefly explain why in one sentence.