A function is positive on and negative on

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

Problem

A function

p

is positive on

[0,3]

and negative on

[3,7]

. Let

A

be the area of the region bounded by

y=p(x)

and the

x

-axis on

[0,3]

, and let

B

be the area of the region bounded by

y=p(x)

and the

x

-axis on

[3,7]

. Which expression gives

\displaystyle\int_0^7 p(x)\,dx

in terms of

A

and

B

? (a)

A-B

(b)

A+B

(c)

B-A

(d)

-A-B