Graphically, what does the definite integral
∫
a
b
f
(
x
)
,
d
x
\displaystyle {\int_{{{a}}}^{{{b}}}}{f{{\left({x}\right)}}},{\left.{d}{x}\right.}
∫
a
b
f
(
x
)
,
d
x
represent if
f
\displaystyle {f}
f
is always positive?
The values of the function at
x
=
a
\displaystyle {x}={a}
x
=
a
and
x
=
b
\displaystyle {x}={b}
x
=
b
.
The derivative of the function at
x
=
a
\displaystyle {x}={a}
x
=
a
and
x
=
b
\displaystyle {x}={b}
x
=
b
.
The area under the function between
x
=
a
\displaystyle {x}={a}
x
=
a
and
x
=
b
\displaystyle {x}={b}
x
=
b
.
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