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Mathematics
Mathematics
Problem
Which of the following best completes the statement of the Fundamental Theorem of Calculus (Part 1)? Let
f
f
f
be continuous on an interval containing
a
a
a
. If
F
(
x
)
=
∫
a
x
f
(
t
)
d
t
F(x)=\displaystyle\int_{a}^{x} f(t)\,dt
F
(
x
)
=
∫
a
x
f
(
t
)
d
t
, then
F
′
(
x
)
=
F'(x)=
F
′
(
x
)
=
____. a)
f
(
a
)
f(a)
f
(
a
)
b)
∫
a
x
f
(
t
)
d
t
\displaystyle\int_{a}^{x} f(t)\,dt
∫
a
x
f
(
t
)
d
t
c)
f
(
x
)
f(x)
f
(
x
)
d)
f
(
x
)
−
f
(
a
)
f(x)-f(a)
f
(
x
)
−
f
(
a
)
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