Function is continuous

MATHEMATICS · Single correct · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Function

p

is continuous, increasing, and concave down on

[1,4]

. Four equal-width approximations to

\displaystyle \int_1^4 p(x)\,dx

are computed:

L

(left endpoints),

R

(right endpoints),

M

(midpoints), and

T

(trapezoidal rule). Which of the following lists these four approximations in order from least to greatest? (a)

L < M < T < R

(b)

R < M < T < L

(c)

L < T < M < R

(d)

T < L < R < M