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Mathematics
Problem
Which of the following expressions gives the area of the region bounded by the two curves
y
=
f
(
x
)
y=f(x)
y
=
f
(
x
)
and
y
=
g
(
x
)
y=g(x)
y
=
g
(
x
)
when
f
(
x
)
≥
g
(
x
)
f(x)\ge g(x)
f
(
x
)
≥
g
(
x
)
on the interval
[
a
,
b
]
[a,b]
[
a
,
b
]
? a)
∫
a
b
(
∣
f
(
x
)
∣
−
∣
g
(
x
)
∣
)
d
x
\displaystyle \int_a^b \bigl(|f(x)|-|g(x)|\bigr)\,dx
∫
a
b
(
∣
f
(
x
)
∣
−
∣
g
(
x
)
∣
)
d
x
b)
∫
b
a
[
f
(
x
)
−
g
(
x
)
]
d
x
\displaystyle \int_b^a [f(x)-g(x)]\,dx
∫
b
a
[
f
(
x
)
−
g
(
x
)]
d
x
c)
∫
a
b
[
f
(
x
)
−
g
(
x
)
]
d
x
\displaystyle \int_a^b [f(x)-g(x)]\,dx
∫
a
b
[
f
(
x
)
−
g
(
x
)]
d
x
d)
∫
a
b
[
f
(
x
)
+
g
(
x
)
]
d
x
\displaystyle \int_a^b [f(x)+g(x)]\,dx
∫
a
b
[
f
(
x
)
+
g
(
x
)]
d
x
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