A function is continuous on and satisfies where for

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

Problem

A function

h

is continuous on

[0,7]

and satisfies

\displaystyle \int_{0}^{3} h(t)\,dt = 5 \quad\text{and}\quad \int_{3}^{7} |h(t)|\,dt = 6,

where

h(t)<0

for

3\le t\le 7

. What is the value of

\displaystyle \int_{0}^{7} h(t)\,dt

? (a)

11

(b)

-11

(c)

-1

(d)

1