Consider the function
f
(
t
)
=
7
sec
2
(
t
)
−
9
t
2
\displaystyle {f{{\left({t}\right)}}}={7}{{\sec}^{{2}}{\left({t}\right)}}-{9}{t}^{{{2}}}
f
(
t
)
=
7
sec
2
(
t
)
−
9
t
2
.
Let
F
(
t
)
\displaystyle {F}{\left({t}\right)}
F
(
t
)
be the antiderivative of
f
(
t
)
\displaystyle {f{{\left({t}\right)}}}
f
(
t
)
with
F
(
0
)
=
0
\displaystyle {F}{\left({0}\right)}={0}
F
(
0
)
=
0
. Then
F
(
t
)
\displaystyle {F}{\left({t}\right)}
F
(
t
)
=
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