Mathematics

Mathematics

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

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