Which of the following expressions gives the area of the region bounded by the two…

MATHEMATICS · Single correct · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

Which of the following expressions gives the area of the region bounded by the two curves

y=f(x)

and

y=g(x)

when

f(x)\ge g(x)

on the interval

[a,b]

? (a)

\displaystyle \int_a^b \bigl(|f(x)|-|g(x)|\bigr)\,dx

(b)

\displaystyle \int_b^a [f(x)-g(x)]\,dx

(c)

\displaystyle \int_a^b [f(x)-g(x)]\,dx

(d)

\displaystyle \int_a^b [f(x)+g(x)]\,dx