The function is continuous and satisfies for all in the interval

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

Problem

The function

h

is continuous and satisfies

h(x)>0

for all

x

in the interval

[1,4]

. Which of the following statements must be true? (a)

\displaystyle \int_{4}^{1} h(x)\,dx \text{ is positive.}

(b)

\displaystyle \int_{1}^{4} h(x)\,dx = 0

(c)

\displaystyle \int_{1}^{4} h(x)\,dx = -\int_{4}^{1} h(x)\,dx

(d)

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